CHAPTER 13

Investment Centers and Transfer Pricing

ANSWERS TO REVIEW QUESTIONS
13-1 The managerial accountant's primary objective in designing a responsibility-
accounting system is to provide incentives for the organization's subunit managers
to strive toward achieving the organization's goals.
13-2 Goal congruence means a meshing of objectives, in which the managers throughout
an organization strive to achieve goals that are consistent with the goals set by top
management. Goal congruence is important for organizational success because
managers often are unaware of the effects of their decisions on the organization's
other subunits. Also, it is natural for people to be more concerned with the
performance of their own subunit than with the effectiveness of the entire
organization. In order for the organization to be effective, it is important that
everyone in it be striving for the same ultimate objectives.
13-3 Under the management-by-objectives (MBO) philosophy, managers participate in
setting goals that they then strive to achieve. These goals may be expressed in
financial or other quantitative terms, and the responsibility-accounting system is
used to evaluate performance in achieving them. The MBO approach is consistent
with an emphasis on obtaining goal congruence throughout an organization.
13-4 An investment center is a responsibility-accounting center, the manager of which is
held accountable not only for the investment center's profit but also for the capital
invested to earn that profit. Examples of investment centers include a division of a
manufacturing company, a large geographical territory of a hotel chain, and a
geographical territory consisting of several stores in a retail company.
13-5
capital invested
revenue sales

revenue sales
income

capital invested
income
(ROI) investment on Return
13-6 A division's ROI can be improved by improving the sales margin, by improving the
capital turnover, or by some combination of the two. The manager of the Automobile
Division of an insurance company could improve the sales margin by increasing the
profit margin on each insurance policy sold. As a result, every sales dollar would
generate more income. The capital turnover could be improved by increasing sales
of insurance policies while keeping invested capital fixed, or by decreasing the
invested assets required to generate the same sales revenue.
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13-7 Example of the calculation of residual income: Suppose an investment center's profit
is $100,000, invested capital is $800,000, and the imputed interest rate is 12 percent:

,
_

rate interest
imputed

capital invested
s center' investment
profit s center' investment income Residual
Residual income = $100,000 ($800,000) (12%) = $4,000
The imputed interest rate is used in calculating residual income, but it is not used in
computing ROI. The imputed interest rate reflects the firm's minimum required rate
of return on invested capital.
13-8 The chief disadvantage of ROI is that for an investment that earns a rate of return
greater than the company's cost of raising capital, the manager in charge of deciding
about that investment may have an incentive to reject it if the investment would
result in reducing the manager's ROI. The residual-income measure eliminates this
disadvantage by including in the residual-income calculation the imputed interest
rate, which reflects the firm's cost of capital. Any project that earns a return greater
than the imputed interest rate will show a positive residual income.
13-9 The rise in ROI or residual income across time results from the fact that periodic
depreciation charges reduce the book value of the asset, which is generally used in
determining the investment base to use in the ROI or residual-income calculation.
This phenomenon can have a serious effect on the incentives of investment-center
managers. Investment centers with old assets will show higher ROIs than investment
centers with relatively new assets. This result can discourage investment-center
managers from investing in new equipment. If this behavioral tendency persists for a
long time, a division's assets can become obsolete, making the division
uncompetitive.
13-10 The economic value added (EVA) is defined as follows:
1
1
]
1

,
_

capital
of cost
average - Weighted
s liabilitie current
s center'
Investment
assets total
s center'
Investment
income operating
tax - after
s center' Investment
added
value
Economic

,
_

rate interest
imputed

capital invested
s center' investment
profit s center' investment income Residual
Economic value added differs from residual income in its subtraction of the
investment centers current liabilities and its specific use of the weighted-average
cost of capital.
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13-2 Solutions Manual
13-11 a. Total assets: Includes all divisional assets. This measure of invested capital is
appropriate if the division manager has considerable authority in making
decisions about all of the division's assets, including nonproductive assets.
b. Total productive assets: Excludes assets that are not in service, such as
construction in progress. This measure is appropriate when a division manager
is directed by top management to keep nonproductive assets, such as vacant
land or construction in progress.
c. Total assets less current liabilities: All divisional assets minus current liabilities.
This measure is appropriate when the division manager is allowed to secure
short-term bank loans and other short-term credit. This approach encourages
investment-center managers to minimize resources tied up in assets and
maximize the use of short-term credit to finance operations.
13-12 The use of gross book value instead of net book value to measure a division's
invested capital eliminates the problem of an artificially increasing ROI or residual
income across time. Also, the usual methods of computing depreciation, such as
straight-line or declining-balance methods, are arbitrary. As a result, some managers
prefer not to allow these depreciation charges to affect ROI or residual-income
calculations.
13-13 It is important to make a distinction between an investment center and its manager,
because in evaluating the manager's performance, only revenues and costs that the
manager can control or significantly influence should be included in the profit
measure. The objective of the manager's performance measure is to provide an
incentive for that manager to adhere to goal-congruent behavior. In evaluating the
investment center as a viable economic investment, all revenues and costs that are
traceable to the investment center should be considered. Controllability is not an
issue in this case.
13-14 Pay for performance is a one-time cash payment to an investment-center manager as
a reward for meeting a predetermined criterion on a specified performance measure.
The objective of pay for performance is to get the manager to strive to achieve the
performance target that triggers the payment.
13-15 An alternative to using ROI or residual income to evaluate a division is to look at its
income and invested capital separately. Actual divisional profit for a period of time is
compared to a flexible budget, and variances are used to analyze performance. The
division's major investments are evaluated through a postaudit of the investment
decisions. This approach avoids the necessity of combining profit and invested
capital in a single measure, such as ROI or residual income.
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13-16 During periods of inflation, historical-cost asset values soon cease to reflect the cost
of replacing those assets. Therefore, some accountants argue that investment-center
performance measures based on historical-cost accounting are misleading. Most
managers, however, believe that measures based on historical-cost accounting are
adequate when used in conjunction with budgets and performance targets.
13-17 Examples of nonfinancial measures that could be used to evaluate a division of an
insurance company include the following: (1) new policies issued and insurance
claims settled in a specified period of time, (2) average time required to settle an
insurance claim, and (3) number of insurance claims settled without litigation versus
claims that require litigation.
13-18 Nonfinancial information is useful in measuring investment-center performance
because it gives top management insight into the summary financial measures such
as ROI or residual income. By keeping track of important nonfinancial data, top
managers often can see a problem developing before it becomes a serious problem.
For example, if a manufacturer's rate of defective products has been increasing over
some period of time, management can observe this phenomenon and take steps to
improve product quality before serious damage is done to customer relations.
13-19 The goal in setting transfer prices is to establish incentives for autonomous division
managers to make decisions that support the overall goals of the organization.
Transfer prices should be chosen so that each division manager, when striving to
maximize his or her own division's profit, makes the decision that maximizes the
company's profit.
13-20 Four methods by which transfer prices may be set are as follows:
(a) Transfer price = additional outlay costs incurred because goods are transferred +
opportunity costs to the organization because of the transfer.
(b) Transfer price = external market price.
(c) Transfer prices may be set on the basis of negotiations among the division
managers.
(d) Transfer prices may be based on the cost of producing the goods or services to
be transferred.
13-21 When the transferring division has excess capacity, the opportunity cost of
producing a unit for transfer is zero.
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13-4 Solutions Manual
13-22 The management of a multinational company has an incentive to set transfer prices
so as to minimize the income reported for divisions in countries with relatively high
income-tax rates, and to shift this income to divisions with relatively low income-tax
rates. Some countries' tax laws prohibit this practice, while other countries' laws
permit it.
13-23 Multinational firms may be charged import duties, or tariffs, on goods transferred
between divisions in different countries. These duties often are based on the
reported value of the transferred goods. Such companies may have an incentive to
set a low transfer price in order to minimize the duty charged on the transferred
goods.
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Managerial Accounting, 8/e 13- 5
SOLUTIONS TO EXERCISES
EXERCISE 13-24 (10 MINUTES)
Sales margin =
revenue sales
income
=
00 $125,000,0
0 $10,000,00
= 8%
Capital turnover =
capital invested
revenue sales
=
0 $50,000,00
00 $125,000,0
= 2.5
Return on investment =
capital invested
income
=
0 $50,000,00
0 $10,000,00
= 20%
EXERCISE 13-25 (15 MINUTES)
There are an infinite number of ways to improve the division's ROI to 25 percent. Here are
two of them:
1. Improve the sales margin to 10 percent by increasing income to $12,500,000:
ROI = sales margin capital turnover
= 0 $50,000,00
00 $125,000,0
00 $125,000,0
0 $12,500,00

= 10% 2.5 = 25%

Since sales revenue remains unchanged, this implies a cost reduction of $2,500,000 at
the same volume.
2. Improve the turnover to 3.125 by decreasing average invested capital to $40,000,000:
ROI = sales margin capital turnover
=
0 $40,000,00
00 $125,000,0
00 $125,000,0
0 $10,000,00

= 8% 3.125 = 25%
Since sales revenue remains unchanged, this implies that the firm can divest itself of
some productive assets without affecting sales volume.
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13-6 Solutions Manual
EXERCISE 13-26 (5 MINUTES)
Residual
income
= investment center income

,
_

rate interest
imputed

capital
invested
= $10,000,000 ($50,000,000 11%)
= $4,500,000
EXERCISE 13-27 (15 MINUTES)
1. Sales margin =
revenue sales
income
=

6,000,000
* 300,000
= 5%
*Income = 300,000 = 6,000,000 3,300,000 2,400,000
Capital turnover =
capital invested
revenue sales
=

3,000,000
6,000,000
= 2
ROI =
capital invested
income
=

3,000,000
300,000
= 10%
2. ROI = 15% =
capital invested
income
=

3,000,000
income
Income = 15% 3,000,000 = 450,000
Income = sales revenue expenses = 450,000
Income = 6,000,000 expenses = 450,000
Expenses = 5,550,000
Therefore, expenses must be reduced to 5,550,000 in order to raise the firm's ROI to
15 percent.
3. Sales margin = revenue sales
income
=

7.5%
6,000,000
450,000

ROI = sales margin capital turnover

= 7.5% 2
= 15%
EXERCISE 13-28 (30 MINUTES)
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1. Students calculation of return on investment and residual income will depend on the
company selected and the year when the internet search is conducted. Students will
need to decide how to determine the income and the invested assets to use in both
calculations. The discussion in the text will serve as a guide in this regard.
2. Some companies annual reports include a calculation and discussion of ROI in the
management report and analysis section or the financial highlights section.
Students calculation of ROI may differ from managements due to differing assumptions
about the determination of income and invested capital.
EXERCISE 13-29 (30 MINUTES)
1. Average investment in productive assets:
Balance on 12/31/x1....................................................................................... $25,200,000
Balance on 1/1/x1 ($25,200,000 1.05)........................................................ 24,000,000
Beginning balance plus ending balance...................................................... $49,200,000
Average balance ($49,200,000 2)............................................................... $24,600,000
a. ROI =
assets productive average
taxes income before operations from income
=
0 $24,600,00
$4,920,000
= 20%
b. Income from operations before income taxes..................................... $ 4,920,000
Less: imputed interest charge:
Average productive assets....................................... $24,600,000
Imputed interest rate................................................. .15
Imputed interest charge.................................................................... 3,690,000
Residual income..................................................................................... $ 1,230,000
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13-8 Solutions Manual
EXERCISE 13-29 (CONTINUED)
2. Yes, Fairmonts management probably would have accepted the investment if residual
income were used. The investment opportunity would have lowered Fairmonts 20x1
ROI because the project's expected return (18 percent) was lower than the division's
historical returns (19.3 percent to 22.1 percent) as well as its actual 20x1 ROI (20
percent). Management may have rejected the investment because bonuses are based
in part on the ROI performance measure. If residual income were used as a
performance measure (and as a basis for bonuses), management would accept any
and all investments that would increase residual income (i.e., a dollar amount rather
than a percentage) including the investment opportunity it had in 20x1.
3. The electronic version of the Solutions Manual BUILD A SPREADSHEET SOLUTIONS
is available on your Instructors CD and on the Hilton, 8e website:
WWW.MHHE.COM/HILTON8E.
EXERCISE 13-30 (15 MINUTES)
Memorandum
Date: Today
To: President, Sun Coast Food Centers
From: I. M. Student
Subject: Behavior of ROI over time
When ROI is calculated on the basis of net book value, it will typically increase over time.
The net book value of the bundle of assets declines over time as depreciation is recorded.
The income generated by the bundle of assets often will remain constant or increase over
time. The result is a steady increase in the ROI, as income remains constant (or increases)
and book value declines.
This effect will not exist (or at least will not be as pronounced) if the firm continues to
invest in new assets at a roughly steady rate across time.
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EXERCISE 13-31 (10 MINUTES)
1. The same employee is responsible for keeping the inventory records and taking the
physical inventory count. In addition, when the records and the count do not agree, the
employee changes the count, rather than investigating the reasons for the discrepancy.
This leaves open the possibility that the employee would steal inventory and conceal the
theft by altering both the records and the count. Even without any dishonesty by the
employee, this system is not designed to control inventory since it does not encourage
resolution of discrepancies between the records and the count.
2. The internal control system could be strengthened in two ways:
(a) Assign two different employees the responsibilities for the inventory records and
the physical count. With this arrangement, collusion would be required for theft to
be concealed.
(b) Require that discrepancies between the inventory records and the physical count
be investigated and resolved when possible.
EXERCISE 13-32 (15 MINUTES)
The weighted-average cost of capital (WACC) is defined as follows:
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13-10 Solutions Manual
equity of
value
Market
debt of
value
Market
equity of
value
Market
capital
equity
of Cost
debt of
value
Market
capital
debt of
cost tax - After
capital
of cost
average - Weighted
The interest rate on Golden Gate Construction Associates $90 million of debt is 10 percent,
and the companys tax rate is 40 percent. Therefore, Golden Gates after-tax cost of debt is
6 percent [10% (140%)]. The cost of Golden Gates equity capital is 15 percent.
Moreover, the market value of the companys equity is $135 million. The following
calculation shows that Golden Gates WACC is 11.4 percent.
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Managerial Accounting, 8/e 13- 11
114 .
00 $135,000,0 0 $90,000,00
,000,000) (.15)($135 000,000) (.06)($90,
capital of cost
average - Weighted

+
+

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13-12 Solutions Manual
EXERCISE 13-33 (20 MINUTES)
The economic value added (EVA) is defined as follows:
1
1
]
1

,
_

capital
of cost
average - Weighted
s liabilitie current
s center'
Investment
assets total
s center'
Investment
income operating
tax - after
s center' Investment
added
value
Economic
For Golden Gate Construction Associates, we have the following calculations of each
divisions EVA.
Division
After-Tax
Operating
Income
(in millions)
Total Assets
(in millions)
Current
Liabilities
(in millions) WACC
Economic
Value
Added
(in millions)
Real Estate
$30(1.40) $150 $9 .114 = $1.926
Construction $27(1.40) $ 90 $6 .114 = $6.624
EXERCISE 13-34 (10 MINUTES)
1.
Transfer price =
outlay
cost
+
opportunity
cost
= $450* + $120

= $570
*Outlay cost = unit variable production cost

Opportunity cost = forgone contribution margin

= $570 $450 = $120
2. If the Fabrication Division has excess capacity, there is no opportunity cost associated
with a transfer. Therefore:
Transfer price =
outlay
cost
+
opportunity
cost
= $450 + 0 = $450
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EXERCISE 13-35 (25 MINUTES)
1. The Assembly Division's manager is likely to reject the special offer because the
Assembly Division's incremental cost on the special order exceeds the division's
incremental revenue:
Incremental revenue per unit in special order........................ $700
Incremental cost to Assembly Division per unit
in special order:
Transfer price...................................................................... $561
Additional variable cost...................................................... 150
Total incremental cost.............................................................. 711
Loss per unit in special order.................................................. $ (11 )
2. The Assembly Division manager's likely decision to reject the special order is not in the
best interests of the company as a whole, since the company's incremental revenue on
the special order exceeds the company's incremental cost:
Incremental revenue per unit in special order..................... $700
Incremental cost to company per unit in special order:
Unit variable cost incurred in Fabrication Division......... $450
Unit variable cost incurred in Assembly Division........... 150
Total unit variable cost.......................................................... 600
Profit per unit in special order.............................................. $100
3. The transfer price could be set in accordance with the general rule, as follows:
Transfer price =
outlay
cost
+
opportunity
cost
= $450 + 0*
= $450
*Opportunity cost is zero, since the Fabrication Division has excess capacity.
Now the Assembly Division manager will have an incentive to accept the special order
since the Assembly Division's incremental revenue on the special order exceeds the
incremental cost. The incremental revenue is still $700 per unit, but the incremental
cost drops to $600 per unit ($450 transfer price + $150 variable cost incurred in the
Assembly Division).
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13-14 Solutions Manual
SOLUTIONS TO PROBLEMS
PROBLEM 13-36 (25 MINUTES)
The answer to the question as to which division is the most successful depends on the
firm's cost of capital. To see this, compute the residual income for each division using
various imputed interest rates.
(a) Imputed interest rate of 10%:
Division I Division II
Divisional profit.................................................................... $2,700,000 $600,000
Less: Imputed interest charge:
I: $18,000,000 10%.............................................. 1,800,000
II: $ 3,000,000 10%.............................................. ________ 300,000
Residual income................................................................... $ 900,000 $300,000
(b) Imputed interest rate of 14%:
Division I Division II
Divisional profit.................................................................... $2,700,000 $600,000
Less: Imputed interest charge:
I: $18,000,000 14%.............................................. 2,520,000
II: $ 3,000,000 14%.............................................. ________ 420,000
Residual income................................................................... $ 180,000 $180,000
(c) Imputed interest rate of 15%:
Divisional profit.................................................................... $2,700,000 $600,000
Less: Imputed interest charge:
I: $18,000,000 15%.............................................. 2,700,000
II: $ 3,000,000 15%.............................................. ________ 450,000
Residual income................................................................... $ 0 $150,000
If the firm's cost of capital is 10 percent, then Division I has a higher residual income than
Division II. With a cost of capital of 15 percent, Division II has a higher residual income. At a
14 percent cost of capital, both divisions have the same residual income. This scenario
illustrates one of the advantages of residual income over ROI. Since the residual income
calculation includes an imputed interest charge reflecting the firm's cost of capital, it gives
a more complete picture of divisional performance.
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Managerial Accounting, 8/e 13- 15
PROBLEM 13-37 (45 MINUTES)
Division I Division II Division III
Sales revenue......................................................... $40,000,000 $8,000,000
e
$3,200,000
l
Income.................................................................... $ 8,000,000 $ 1,600,000 $ 800,000
k
Average investment............................................... $10,000,000 $8,000,000
f
$4,000,000
j
Sales margin ......................................................... 20%
a
20% 25%
Capital turnover..................................................... 4
b
1 .8
i
ROI.......................................................................... 80%
c
20%
g
20%
Residual income.................................................... $ 7,200,000
d
$ 960,000
h
$ 480,000
Explanatory notes:
20%
0 $40,000,00
$8,000,000

revenue sales
income
margin Sales
a

4
0 $10,000,00
0 $40,000,00

capital invested
revenue sales
turnover Capital
b

c
ROI = sales margin capital turnover = 20% 4 = 80%
d
Residual income = income (imputed interest rate)(invested capital)
= $8,000,000 (8%)($10,000,000) = $7,200,000
e
Sales margin =
revenue sales
income
20% =
revenue sales
$1,600,000
Therefore, sales revenue = $8,000,000
f
Capital turnover = capital invested
revenue sales
1 = capital invested
$8,000,000
Therefore, invested capital = $8,000,000
g
ROI = sales margin capital turnover

ROI = 20% 1 = 20%

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13-16 Solutions Manual
PROBLEM 13-37 (CONTINUED)
h
Residual income = income (imputed interest rate)(invested capital)
= $1,600,000 (8%)($8,000,000)
= $960,000
i
ROI = sales margin capital turnover
20% = 25% capital trunover
Therefore, capital turnover = .8
j
ROI = capital invested
income
= 20%
Therefore, income = (20%)(invested capital)
Residual
income
= income (imputed interest rate)(invested capital)
= $480,000
Substituting from above for income:
(20%)(invested capital) (8%)(invested capital) = $480,000
Therefore, (12%)(invested capital) = $480,000
So, invested capital = $4,000,000
k
ROI =
capital invested
income
20% = 000 , 000 , 4 $
income
Therefore, income = $800,000
l
Sales margin =
revenue sales
income
25% =
revenue sales
000 , 800 $
Therefore, sales revenue = $3,200,000
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Managerial Accounting, 8/e 13- 17
PROBLEM 13-38 (20 MINUTES)
1. Three ways to increase Division I's ROI:
(a) Increase income, while keeping invested capital the same. Suppose income
increases to $9,000,000. The new ROI is:
% 90
000 , 000 , 10 $
000 , 000 , 9 $
capital invested
income
ROI
(b) Decrease invested capital, while keeping income the same. Suppose invested
capital decreases to $9,600,000. The new ROI is:
) rounded ( % 3 . 83
000 , 600 , 9 $
000 , 000 , 8 $
capital invested
income
ROI
(c) Increase income and decrease invested capital. Suppose income increases to
$8,400,000 and invested capital decreases to $9,600,000. The new ROI is:
% 5 . 87
000 , 600 , 9 $
000 , 400 , 8 $
capital invested
income
ROI
2. ROI = sales margin capital turnover
= 25% 1
= 25%
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13-18 Solutions Manual
PROBLEM 13-39 (25 MINUTES)
This problem is similar to Problem 13-36, except that here students are given a hint in
answering the question about which division is the most successful by requiring the
calculation of residual income for three different imputed interest rates. If the firm's cost of
capital is 12 percent, then Division I has a higher residual income than Division II. With a
cost of capital of 15 percent or 18 percent, Division II has a higher residual income.
1. Imputed interest rate of 12%
Division I Division II
Divisional profit.................................................................... $2,700,000 $600,000
Less: Imputed interest charge:
I: $18,000,000 12%.............................................. 2,160,000
II: $ 3,000,000 12%.............................................. 360,000
Residual income................................................................... $ 540,000 $240,000
2. Imputed interest rate of 15%
Division I Division II
Divisional profit...................................................................... $2,700,000 $600,000
Less: Imputed interest charge:
I: $18,000,000 15%................................................ 2,700,000
II: $ 3,000,000 15%................................................ 450,000
Residual income.................................................................... $ 0 $150,000
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Managerial Accounting, 8/e 13- 19
PROBLEM 13-39 (CONTINUED)
3. Imputed interest rate of 18%
Division I Division II
Divisional profit...................................................................... $2,700,000 $600,000
Less: Imputed interest charge:
I: $18,000,000 18%................................................. 3,240,000
II: $ 3,000,000 18%................................................. 540,000
Residual income.................................................................... $(540,000) $ 60,000
The imputed interest rate r, at which the two divisions residual income is the same, is
14 percent, computed as follows:
Division IIs residual
income
= Division I's residual income
$600,000 (r)($3,000,000) = $2,700,000 (r)($18,000,000)
(r)($15,000,000) = $2,100,000
r = $2,100,000/$15,000,000
r = 14%
For any imputed interest rate less than 14 percent, Division I will have a higher residual
income. For any rate over 14 percent, Division II's residual income will be higher.
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13-20 Solutions Manual
PROBLEM 13-40 (35 MINUTES)
1. Current ROI of the Western Division:
Sales revenue $4,200,000
Less: Variable costs ($4,200,000 x 70%) $2,940,000
Fixed costs.. 1,075,000 4,015,000
Income.. $ 185,000
ROI = Income invested capital
= $185,000 $925,000
= 20%
Western Divisions ROI if competitor is acquired:
Sales revenue ($4,200,000 + $2,600,000). $6,800,000
Less: Variable costs [$2,940,000 +
($2,600,000 x 65%)] $4,630,000
Fixed costs ($1,075,000 + $835,000)... 1,910,000 6,540,000
Income... $ 260,000
ROI = Income invested capital
= $260,000 [$925,000 + ($312,500 +
$187,500)]
= 18.25%
2. Divisional management will likely be against the acquisition because ROI will be
lowered from 20% to 18.25%. Since bonuses are awarded on the basis of ROI, the
acquisition will result in less compensation.
3. An examination of the competitors financial statistics reveals the following:
Sales revenue.. $2,600,000
Less: Variable costs ($2,600,000 x 65%).. $1,690,000
Fixed costs .. 835,000 2,525,000
Income... $ 75,000
ROI = Income invested capital
= $75,000 $312,500
= 24%
McGraw-Hill/Irwin 2009 The McGraw-Hill Companies,
Inc.
Managerial Accounting, 8/e 13- 21
PROBLEM 13-40 (CONTINUED)
Corporate management would probably favor the acquisition. Megatronics has been
earning a 13% return, and the competitors ROI of 24% will help the organization as a
whole. Even if the $187,500 upgrade is made, the competitors ROI would be 15% if
past earnings trends continue [$75,000 ($312,500 + $187,500) = 15%].
4. Yes, the divisional ROI would increase to 21.01%. However, the absence of the
upgrade could lead to long-run problems, with customers being confused (and
perhaps turned-off) by two different retail environmentsthe retail environment they
have come to expect with other Megatronics outlets and that of the newly acquired,
non-upgraded competitor.
Sales revenue ($4,200,000 + $2,600,000). $6,800,000
Less: Variable costs [$2,940,000 +
($2,600,000 x 65%)] $4,630,000
Fixed costs ($1,075,000 + $835,000)... 1,910,000 6,540,000
Income... $ 260,000
ROI = Income invested capital
= $260,000 ($925,000 + $312,500)
= 21.01%
5. Current residual income of the Western Division:
Divisional profit $185,000
Less: Imputed interest charge ($925,000 x 12%) 111,000
Residual income.. $ 74,000
Residual income if competitor is acquired:
Divisional profit ($185,000 + $75,000)... $260,000
Less: Imputed interest charge [($925,000 +
($312,500 + $187,500)) x 12%]... 171,000
Residual income... $ 89,000
Yes, management most likely will change its attitude. Residual income will increase
by $15,000 ($89,000 - $74,000) as a result of the acquisition.
McGraw-Hill/Irwin 2009 The McGraw-Hill Companies,
Inc.
13-22 Solutions Manual
PROBLEM 13-41 (40 MINUTES)
Year
Income
Before
Depreciation
Annual
Depreciation
Income
Net of
Depreciation
Average
Net Book
Value*
ROI
Based
on
Net Book
Value

Average
Gross
Book
Value
ROI
Based
on
Gross
Book
Value
1 $150,000 $200,000 $(50,000) $400,000 $500,000
2 150,000 120,000 30,000 240,000 12.5% 500,000 6.0%
3 150,000 72,000 78,000 144,000 54.2% 500,000 15.6%
4 150,000 54,000 96,000 81,000 118.5% 500,000 19.2%
5 150,000 54,000 96,000 27,000 355.6% 500,000 19.2%
*Average net book value is the average of the beginning and ending balances for the year in net
book value. In Year 1, for example, the average net book value is:
$400,000
2
$300,000 $500,000

ROI rounded to the nearest tenth of 1 percent.

1. This table differs from Exhibit 13-3 in that ROI rises even more steeply across time than
it does in Exhibit 13-3. With straight-line depreciation, ROI rises from 11.1 percent in
Year 1 to 100 percent in Year 5. Under the accelerated depreciation schedule used
here, we have a loss in Year 1 and then ROI rises from 12.5 percent in Year 2 to 355.6
percent in Year 5.
2. One potential implication of such an ROI pattern is a disincentive for new investment. If
a proposed capital project shows a loss or very low ROI in its early years, a manager
may worry about the effect on his or her performance evaluation in the early years of
the project. In an extreme case, a manager may worry that he or she will no longer have
the job when the project begins to show a higher return in its later years.
McGraw-Hill/Irwin 2009 The McGraw-Hill Companies,
Inc.
Managerial Accounting, 8/e 13- 23
PROBLEM 13-42 (40 MINUTES)
Based on Net Book Value Based on Gross Book Value
Year
Income
Before
Depreciation
Annual
Depreciation
Income
Net of
Depreciation
Average
Net Book
Value*
Imputed
Interest
Charge

Residual
Income
Average
Gross
Book
Value
Imputed
Interest
Charge

Residual
Income
1 $150,000 $100,000 $50,000 $450,000 $45,000 $ 5,000 $500,000 $50,000 0
2 150,000 100,000 50,000 350,000 35,000 15,000 500,000 50,000 0
3 150,000 100,000 50,000 250,000 25,000 25,000 500,000 50,000 0
4 150,000 100,000 50,000 150,000 15,000 35,000 500,000 50,000 0
5 150,000 100,000 50,000 50,000 5,000 45,000 500,000 50,000 0
*Average net book value is the average of the beginning and ending balances for the year in net book value.

Imputed interest charge is 10 percent of the average book value, either net or gross.
Notice in the table that residual income, computed on the basis of net book value,
increases over the life of the asset. This effect is similar to the one demonstrated for ROI.
It is not very meaningful to compute residual income on the basis of gross book
value. Notice that this asset shows a zero residual income for all five years when the
calculation is based on gross book value.
McGraw-Hill/Irwin 2009 The McGraw-Hill Companies, Inc.
13-24 Solutions Manual
PROBLEM 13-43 (30 MINUTES)
1. Sales margin: income divided by sales revenue.
Capital turnover: sales revenue divided by invested capital
Return on investment: income divided by invested capital (or sales margin x capital
turnover).
Sales margin: $540,000 $7,200,000 = 7.5%
Capital turnover: $7,200,000 $9,000,000 = 80%
Return on investment: $540,000 $9,000,000 = 6%, or
7.5% x 80% = 6%
2. Strategy (a): Income will be reduced to $450,000 because of the loss, and invested
capital will fall to $8,910,000 from the disposal. ROI = $450,000 $8,910,000, or
5.05%. This strategy should be rejected, since it further hurts Washburns
performance.
Strategy (b): In terms of ROI, this strategy neither hurts nor helps. The acceleration
of overdue receivables increases cash and decreases accounts receivable,
producing no effect on invested capital. Of course, it is possible that the newly
acquired cash could be invested in something that would provide a positive return
for the firm.
3. Yes. A drastic cutback in advertising could lead to a loss of customers and a
reduced market share. This could translate into reduced profits over the long term.
With respect to repairs and maintenance, reduced outlays could prove costly by
unintentional shortening of the useful lives of plant and equipment. Such action
would likely result in an accelerated asset replacement program.
McGraw-Hill/Irwin 2009 The McGraw-Hill Companies,
Inc.
Managerial Accounting, 8/e 13- 25
PROBLEM 13-43 (CONTINUED)
4. Anderson Manufacturing ROI: ($4,500,000 - $3,600,000) $7,500,000 = 12%
Palm Beach Enterprises ROI: ($6,750,000 - $6,180,000) $7,125,000 = 8%
From the preceding calculations, both investments appear attractive given the
current state of affairs (i.e., the Hardware Divisions current ROI of 6%). However, if
Washburn desires to maximize ROI, he would be advised to acquire only Anderson
Manufacturing.
Current
Current +
Anderson
Current +
Anderson +
Palm Beach
Income. $ 540,000 $ 1,440,000* $ 2,010,000**
Invested capital 9,000,000 16,500,000 23,625,000
ROI 6% 8.73% 8.51%
* $540,000 + ($4,500,000 - $3,600,000)
** $540,000 + ($4,500,000 - $3,600,000) + ($6,750,000 - $6,180,000)
PROBLEM 13-44 (35 MINUTES)
1. The weighted-average cost of capital (WACC) is defined as follows:
McGraw-Hill/Irwin 2009 The McGraw-Hill Companies,
Inc.
13-26 Solutions Manual
equity of
value
Market
debt of
value
Market
equity
of value
Market
capital
equity
of Cost
debt of
value
Market
capital
debt
of cost
tax - After
capital
of cost
average
- Weighted
The following calculation shows that the companys WACC is 9.72 percent.
0972 .
00 $600,000,0 00 $400,000,0
,000,000) (.12)($600 0,000,000) (.063)($40
capital of cost
average - Weighted

+
+

McGraw-Hill/Irwin 2009 The McGraw-Hill Companies,

Inc.
Managerial Accounting, 8/e 13- 27
where .063 = .09 x (1 - .3)
McGraw-Hill/Irwin 2009 The McGraw-Hill Companies,
Inc.
13-28 Solutions Manual
PROBLEM 13-44 (CONTINUED)
2. The three divisions economic-value-added measures are calculated as follows:
Division
After-Tax
Operating
Income
(in millions)

Total
Assets
(in
millions)

Current
Liabilities
(in
millions)
WACC =
Economic
Value
Added
(in millions)
Pacific...... $14 (1.30) [($ 70 $6) .0972] = $ 3,579,200
Plains....... $45 (1.30) [($300 $5) .0972] = $ 2,826,000
Atlantic. . . . $48 (1.30) [($480 $9) .0972] = $(12,181,200)
3. The EVA analysis reveals that the Atlantic Division is in trouble. Its substantial
negative EVA merits the immediate attention of the management team.
McGraw-Hill/Irwin 2009 The McGraw-Hill Companies,
Inc.
Managerial Accounting, 8/e 13- 29
PROBLEM 13-45 (35 MINUTES)
1. The weighted-average cost of capital (WACC) is defined as follows:
equity of
value
Market
debt of
value
Market
equity of
value
Market
capital
equity
of Cost
debt of
value
Market
capital
debt of
cost tax - After
capital
of cost
average - Weighted
The interest rate on CCLSs $120 million of debt is 9 percent, and the companys tax rate is
40 percent. Therefore, the after-tax cost of debt is 5.4 percent [9% (140%)]. The cost of
McGraw-Hill/Irwin 2009 The McGraw-Hill Companies,
Inc.
13-30 Solutions Manual
CCLSs equity capital is 14 percent. Moreover, the market value of the companys equity is
$180 million. The following calculation shows that Cape Cod Lobster Shacks WACC is
10.56 percent.
1056 .
00 $180,000,0 00 $120,000,0
,000,000) (.14)($180 0,000,000) (.054)($12
capital of cost
average - Weighted

+
+

2. The economic value added (EVA) is defined as follows:

1
1
]
1

,
_

capital
of cost
average - Weighted
s liabilitie current
s center'
Investment
assets total
s center'
Investment
income operating
tax - after
s center' Investment
added
value
Economic
For Cape Cod Lobster Shacks, Inc., we have the following calculations of EVA for each of
the companys divisions.
Division
After-Tax
Operating
Income
(in millions)
Total Assets
(in millions)
Current
Liabilities
(in millions) WACC
Economic
Value
Added
(in millions)
Properties $43.5(1.40) $217.5 $4.5 .1056 = $3.6072
Food Service $22.5(1.40) $ 96 $9 .1056 = $4.3128
3. The electronic version of the Solutions Manual BUILD A SPREADSHEET SOLUTIONS
is available on your Instructors CD and on the Hilton, 8e website:
WWW.MHHE.COM/HILTON8E.
McGraw-Hill/Irwin 2009 The McGraw-Hill Companies,
Inc.
Managerial Accounting, 8/e 13- 31
PROBLEM 13-46 (25 MINUTES)
1. The Birmingham divisional manager will likely be opposed to the transfer. Currently,
the division is selling all the units it produces at $1,550 each. With transfers taking
place at $1,500, Birmingham will suffer a $50 drop in sales revenue and profit on
each unit it sends to Tampa.
2. Although Tampa is receiving a $50 price break on each unit purchased from
Birmingham, the $1,500 transfer price would probably be deemed too high. The
reason: Tampa will lose $40 on each satellite positioning system produced and sold.
Sales revenue.. $2,800
Less: Variable manufacturing costs. $1,340
Transfer price paid to Birmingham 1,500 2,840
Income (loss) $ (40 )
3. Although top management desires to introduce the positioning system, it should not
lower the price to make the transfer attractive to Tampa. MTI uses a responsibility
accounting system, awarding bonuses based on divisional performance. Top
managements intervention/price-lowering decision would undermine the authority
and autonomy of Birminghams and Tampas divisional managers. Ideally, the two
divisional managers (or their representatives) should negotiate a mutually agreeable
price.
4. MTI would benefit more if it sells the diode reducer externally. Observe that the
transfer price is ignored in this evaluationone that looks at the firm as a whole.
Put simply, Birmingham would record the transfer price as revenue whereas Tampa
would record the transfer price as a cost, thereby creating a wash on the part of
the overall entity.
Produce Diode;
Sell Externally
Produce Diode;
Transfer; Sell
Positioning System
Sales revenue.................... $1,550 $2,800
Less: Variable cost::
$1,000.......................
$1,000 + $1,340........
1,000
2,340
Contribution margin.......... $ 550 $ 460
McGraw-Hill/Irwin 2009 The McGraw-Hill Companies,
Inc.
13-32 Solutions Manual
PROBLEM 13-47 (40 MINUTES)
1. a. Transfer price = outlay cost + opportunity cost
= $130 + $30 = $160
b. Transfer price = standard variable cost + (10%)(standard variable cost)
= $130 + (10%) ($130) = $143
Note that the Frame Division manager would refuse to transfer at this price.
2. a. Transfer price = outlay cost + opportunity cost
= $130 + 0 = $130
b. When there is no excess capacity, the opportunity cost is the forgone
contribution margin on an external sale when a frame is transferred to the Glass
Division. The contribution margin equals $30 ($160 $130). When there is excess
capacity in the Frame Division, there is no opportunity cost associated with a
transfer.
c. Fixed overhead per frame (125%)($40) = $50
Transfer price = variable cost + fixed overhead per frame
+ (10%)(variable cost + fixed overhead per frame)
= $130 + $50 + [(10%)($130 + $50)]
= $198
d. Incremental revenue per window.................................. $310
Incremental cost per window, for Weathermaster
Window Company:
Direct material (Frame Division)............................... $30
Direct labor (Frame Division).................................... 40
Variable overhead (Frame Division).......................... 60
Direct material (Glass Division)................................ 60
Direct labor (Glass Division)..................................... 30
Variable overhead (Glass Division)........................... 60
Total variable (incremental) cost............................... 280
Incremental contribution per window in special order
for Weathermaster Window Company....................... $ 30
The special order should be accepted because the incremental revenue exceeds
the incremental cost, for Weathermaster Window Company as a whole.
McGraw-Hill/Irwin 2009 The McGraw-Hill Companies,
Inc.
Managerial Accounting, 8/e 13- 33
PROBLEM 13-47 (CONTINUED)
e. Incremental revenue per window.................................. $ 310
Incremental cost per window, for the Glass Division:
Transfer price for frame [from requirement 2(c)]..... $198
Direct material (Glass Division)................................ 60
Direct labor (Glass Division)..................................... 30
Variable overhead (Glass Division)........................... 60
Total incremental cost............................................... 348
Incremental loss per window in special order
for Glass Division........................................................ $ (38)
The Glass Division manager has an incentive to reject the special order because
the Glass Division's reported net income would be reduced by $38 for every
window in the order.
f. One can raise an ethical issue here to the effect that a division manager should
always strive to act in the best interests of the whole company, even if that action
seemingly conflicts with the divisions best interests. In complex transfer pricing
situations, however, it is not always as clear what the companys optimal action is
as it is in this rather simple scenario.
3. The use of a transfer price based on the Frame Division's full cost has caused a cost
that is a fixed cost for the entire company to be viewed as a variable cost in the Glass
Division. This distortion of the firm's true cost behavior has resulted in an incentive for
a dysfunctional decision by the Glass Division manager.
McGraw-Hill/Irwin 2009 The McGraw-Hill Companies,
Inc.
13-34 Solutions Manual
PROBLEM 13-48 (40 MINUTES)
1. Among the reasons transfer prices based on total actual costs are not appropriate as a
divisional performance measure are the following:
They provide little incentive for the selling division to control manufacturing costs,
because all costs incurred will be passed on to the buying division.
They often lead to suboptimal decisions for the company as a whole, because they
can obscure cost behavior. Costs that are fixed for the company as a whole can be
made to appear variable to the division buying the transferred goods.
2. Using the market price as the transfer price, the contribution margin for both the
Mining Division and the Metals Division is calculated as follows:
Mining
Division
Metals
Division
Selling price.............................................................................
Less: Variable costs:
Direct material..............................................................
Direct labor...................................................................
Manufacturing overhead.............................................
Transfer price...............................................................
Unit contribution margin.........................................................
Volume......................................................................................
Total contribution margin.......................................................
$ 270
36
48
72*

$ 114
x 400,000
$45,600,000
$ 450
18
60
30
270
$ 72
x 400,000
$28,800,000
*Variable overhead = $96 x 75% = $72
Variable overhead = $75 x 40% = $30
Note: the $15 variable selling cost that the Mining Division would incur for sales on the
open market should not be included, because this is an internal transfer.
McGraw-Hill/Irwin 2009 The McGraw-Hill Companies,
Inc.
Managerial Accounting, 8/e 13- 35
PROBLEM 13-48 (CONTINUED)
3. If RIRC instituted the use of a negotiated transfer price that also permitted the
divisions to buy and sell on the open market, the price range for toldine that would
be acceptable to both divisions would be determined as follows.
The Mining Division would like to sell to the Metals Division for the same price it can
obtain on the outside market, $270 per unit. However, Mining would be willing to sell
the toldine for $255 per unit, because the $15 variable selling cost would be avoided.
The Metals Division would like to continue paying the bargain price of $198 per unit.
However, if Mining does not sell to Metals, Metals would be forced to pay $270 on the
open market. Therefore, Metals would be satisfied to receive a price concession
from Mining equal to the costs that Mining would avoid by selling internally.
Therefore, a negotiated transfer price for toldine between $255 and $270 would be
acceptable to both divisions and benefits the company as a whole.
4. General transfer-pricing rule:
Transfer price = outlay cost + opportunity cost
= ($36 + $48 + $72)* + ($114 - $15) **
= $156 + $99 = $255
*Outlay cost = direct material + direct labor + variable overhead [see requirement (2)]
**Opportunity cost = forgone contribution margin from outside sale on open market
= $114 contribution margin from internal sale calculated in
requirement (2), less the additional $15 variable selling cost
incurred for an external sale
Therefore, the general rule yields a minimum acceptable transfer price to the Mining
Division of $255, which is consistent with the conclusion in requirement (3).
5. A negotiated transfer price is probably the most likely to elicit desirable management
behavior, because it will do the following:
Encourage the management of the Mining Division to be more conscious of cost
control.
Benefit the Metals Division by providing toldine at a lower cost than that of its
competitors.
Provide the basis for a more realistic measure of divisional performance.
McGraw-Hill/Irwin 2009 The McGraw-Hill Companies,
Inc.
13-36 Solutions Manual
PROBLEM 13-49 (30 MINUTES)
1. If the transfer price is set equal to the U.S. variable manufacturing cost, Delta
Telecom will make $98.40 per circuit board:
U.S. operation:
Sales revenue (transfer price)... $ 390.00
Less: Variable manufacturing cost.. 390.00
Contribution margin. $ --
German operation:
Sales revenue $1,080.00
Less: Transfer price. $390.00
Shipping fees. 60.00
Additional processing costs.. 345.00
Import duties ($390.00 x 10%) 39.00 834.00
Income before tax. $ 246.00
Less: Income tax expense ($246.00 x 60%).. 147.60
Income after tax $ 98.40
2. If the transfer price is set equal to the U.S. market price, Delta will make $117.60 per
circuit board: $72.00 + $45.60 = $117.60. The U.S. market price is therefore more
attractive as a transfer price than the U.S. variable manufacturing cost.
U.S. operation:
Sales revenue. $ 510.00
Less: Variable manufacturing cost.. 390.00
Income before tax. $ 120.00
Less: Income tax expense ($120.00 x 40%) 48.00
Income after tax. $ 72.00
German operation:
Sales revenue $1,080.00
Less: Transfer price. $510.00
Shipping fees. 60.00
Additional processing costs.. 345.00
Import duties ($510.00 x 10%) 51.00 966.00
Income before tax. $ 114.00
Less: Income tax expense ($114.00 x 60%).. 68.40
Income after tax $ 45.60
McGraw-Hill/Irwin 2009 The McGraw-Hill Companies,
Inc.
Managerial Accounting, 8/e 13- 37
PROBLEM 13-49 (CONTINUED)
3. (a) The head of the German division should be a team player; however, when the
circuit board can be obtained locally for $465, it is difficult to get excited
about doing business with the U.S. operation. Courtesy of the shipping fee
and import duty, both of which can be avoided, it is advantageous to
purchase in Germany. Even if the lower of the two transfer prices is adopted,
the German division would be better off to acquire the circuit board at home
($465 vs. $390 + $60 + $39 = $489).
(b) Yes. Delta will make $180.00 per circuit board ($72.00 + $108.00) if no transfer
takes place and all circuit boards are sold in the U.S.
U.S. operation:
Sales revenue. $ 510.00
Less: Variable manufacturing cost.. 390.00
Income before tax.. $ 120.00
Less: Income tax expense ($120.00 x 40%) 48.00
Income after tax. $ 72.00
German operation:
Sales revenue.. $1,080.00
Less: Purchase price. $465.00
Additional processing costs 345.00 810.00
Income before tax... $ 270.00
Less: Income tax expense ($270.00 x 60%).. 162.00
Income after tax... $ 108.00
4. When tax rates differ, companies should strive to generate less income in high tax-
rate countries, and vice versa. When alternatives are available, this can be
accomplished by a careful determination of the transfer price.
5. The electronic version of the Solutions Manual BUILD A SPREADSHEET SOLUTIONS
is available on your Instructors CD and on the Hilton, 8e website:
WWW.MHHE.COM/HILTON8E.
McGraw-Hill/Irwin 2009 The McGraw-Hill Companies,
Inc.
13-38 Solutions Manual
SOLUTIONS TO CASES
CASE 13-50 (40 MINUTES)
1. If New Age Industries continues to use return on investment as the sole measure of
division performance, Fun Times Entertainment Corporation (FTEC) would be reluctant
to acquire Recreational Leasing, Inc. (RLI), because the post-acquisition combined ROI
would decrease.
Return on Investment
FTEC RLI Combined
Operating income............................................. $1,000,000 $ 300,000 $ 1,300,000
Total assets....................................................... 4,000,000 1,500,000 5,500,000
Return on investment (income/assets)........... 25% 20% 23.6%*
*Rounded.
The result would be that FTEC's management would either lose their bonuses or have
their bonuses limited to 50 percent of the eligible amounts. The assumption is that
management could provide convincing explanations for the decline in return on
investment.
2. Residual income is the profit earned that exceeds an amount charged for funds
committed to a business unit. The amount charged for funds is equal to an imputed
interest rate multiplied by the business unit's invested capital.
If New Age Industries could be persuaded to use residual income to measure
performance, FTEC would be more willing to acquire RLI, because the residual income of
the combined operations would increase.
Residual Income
FTEC RLI Combined
Total assets.................................................... $4,000,000 $1,600,000* $5,600,000
Income............................................................ $1,000,000 $ 300,000

$1,300,000
Less: Imputed interest charge
(assets 15%)........................................... 600,000 240,000

840,000
Residual income............................................ $ 400,000 $ 60,000

$ 460,000
*Cost to acquire RLI.
McGraw-Hill/Irwin 2009 The McGraw-Hill Companies,
Inc.
Managerial Accounting, 8/e 13- 39
McGraw-Hill/Irwin 2009 The McGraw-Hill Companies,
Inc.
13-40 Solutions Manual
CASE 13-50 (CONTINUED)
3. a. The likely effect on the behavior of division managers whose performance is
measured by return on investment includes incentives to do the following:
Put off capital improvements or modernization to avoid capital expenditures.
Shy away from profitable opportunities or investments that would yield more
than the company's cost of capital but that could lower ROI.
b. The likely effect on the behavior of division managers whose performance is
measured by residual income includes incentives to do the following:
Seek any opportunity or investment that will increase overall residual income.
Seek to reduce the level of assets employed in the business.
McGraw-Hill/Irwin 2009 The McGraw-Hill Companies,
Inc.
Managerial Accounting, 8/e 13- 41
CASE 13-51 (50 MINUTES)
1. Diagram of scenario:
2. First, compute the unit contribution margin of an LDP and an HDP as follows:
LDP HDP
Price................................................................... $28 $ 115
Less: Variable cost:
Unskilled labor........................................ $5 $ 5
Skilled labor............................................ 5 30
Raw material........................................... 3 8
Purchased components......................... 5 15
Variable overhead................................... 4 12
Total variable cost.................................. 22 70
Unit contribution margin.................................. $ 6 $ 45
McGraw-Hill/Irwin 2009 The McGraw-Hill Companies,
Inc.
13-42 Solutions Manual
GENERAL INSTRUMENTATION CORPORATION
Top Management
HUDSON BAY DIVISION
Jacqueline Ducharme
VOLKMAR TACHOMETER DIVISION
Bertram Mueller
Low-Density
Panels
(LDP)
High-
Density
Panels
(HDP) Control Pack
Imported from
Japan
TCH-320
Tachometer
Outside
Market
Outside
Market
Outside
Market
Alternative 1:
Transfer the
HDP
Alternative 2:
Buy the
Control Pack
CASE 13-51 (CONTINUED)
Second, compute the unit contribution margin of Volkmar's TCH-320 under each of its
alternatives, as follows:
TCH-320
Using
Imported
Control Pack
TCH-320
Using
an
HDP
Price............................................................. $275.00 $275.00
Less: Variable cost:
Unskilled labor.................................. $ 4.50 $ 4.50
Skilled labor...................................... 51.00 85.00
Raw material...................................... 10.50 5.00
Purchased components................... 150.00 5.00
Variable overhead............................. 12.00 12.00
Variable cost of manufacturing HDP -0- 70.00
Variable cost of transporting HDP... -0- 4.50
Total variable cost............................ 228.00 186.00
Unit contribution margin............................. $ 47.00 $ 89.00
Difference
is $42.
From the perspective of the entire company, the scarce resource that will limit overall
company profit is the limited skilled labor time available in the Hudson Bay Division. The
question, then, is how can the company as a whole best use the limited skilled labor time
available at Hudson Bay? The division has two products: LDP and HDP. One can view these
as three products, though, in the sense that the HDP units can be produced either for
outside sale or for transfer to the Volkmar Tachometer Division.
Hudson Bay's "Three" Products
HDP for external sale
HDP for transfer
LDP
McGraw-Hill/Irwin 2009 The McGraw-Hill Companies,
Inc.
Managerial Accounting, 8/e 13- 43
CASE 13-51 (CONTINUED)
What is the unit contribution to covering the overall company's fixed cost and profit from
each of these three products? The calculations above show that the unit contribution
margin of an LDP is $6, and the unit contribution of an HDP sold externally is $45.
Moreover, the unit contribution to the overall company of an HDP produced for transfer is
$42, which is the increase in the unit contribution margin of the TCH-320 when it is
manufactured with the HDP instead of the imported control pack. To summarize:
Hudson Bay's Product
Unit Contribution to
Covering the Company's
Fixed Cost and Profit
HDP sold externally $45
HDP transferred internally 42
LDP 6
The analysis of these three products' contribution margins (to General Instrumentation as a
whole) has not gone far enough, because the products do not require the same amount of
the scarce resource, skilled labor time. The important question is how much one hour of
limited skilled labor at Hudson Bay spent on each of the three products will contribute
toward the overall firm's fixed cost and profit.
Hudson Bay's Product
Unit Contribution
Margin
Skilled Labor per
Unit Required at
Hudson Bay
Contribution
Margin
per Hour
HDP sold externally $45 1.50 $30
HDP transferred internally 42 1.50 28
LDP 6 .25 24
McGraw-Hill/Irwin 2009 The McGraw-Hill Companies,
Inc.
13-44 Solutions Manual
CASE 13-51 (CONTINUED)
This analysis shows that from the perspective of the entire company, Hudson Bay's best
use of its limited skilled labor resource is to produce HDPs for external sale, up to the
maximum demand of 6,000 units per year. The second best use of Hudson Bay's limited
skilled labor is to produce HDPs for internal transfer, up to the maximum number of units
needed by the Volkmar Tachometer Division. This number is 10,000 HDPs, since that is the
demand for Volkmar's TCH-320. Hudson Bay's least profitable product is the LDP.
Therefore, from the perspective of General Instrumentation as a whole, the Hudson Bay
Division should use its limited skilled labor time as follows:
Skilled labor time available at Hudson Bay.................................... 40,000 hours
(1) Produce 6,000 HDPs for external sale
(6,000 units 1.5 hours)............................................................... 9,000 hours
Hours remaining............................................................................... 31,000 hours
(2) Produce 10,000 HDPs for internal transfer
(10,000 units 1.5 hours)............................................................. 15,000 hours
Hours remaining............................................................................... 16,000 hours
(3) Produce 64,000 LDPs (64,000 units .25 hours)........................... 16,000 hours
Hours remaining............................................................................... -0-
The final answer to requirement (2) is that all of the required 10,000 TCH-320
tachometers should be manufactured using the HDP unit from the Hudson Bay
Division.
3. Given that 10,000 HDPs are transferred, there is no effect on General Instrumentation
Company's overall income. The transfer price affects only the way the company's
overall profit is divided between the two divisions.
4. Hudson Bay's minimum acceptable transfer price is given by the general transfer-
pricing rule, as follows:
Minimum acceptable transfer price =
additional outlay
costs incurred
because goods
are transferred
+
opportunity
cost to the
organization
because of the
transfer
= $70 + $36
= $106
McGraw-Hill/Irwin 2009 The McGraw-Hill Companies,
Inc.
Managerial Accounting, 8/e 13- 45
CASE 13-51 (CONTINUED)
Explanatory notes:
(a) The outlay cost is equal to the variable cost of manufacturing an HDP.
(b) The opportunity cost is equal to the forgone contribution margin on the LDP
units that Hudson Bay will be unable to produce because it is manufacturing an
HDP for transfer. In the 1.5 hours of skilled labor time required to produce an
HDP for transfer, Hudson Bay could manufacture six LDPs, since each LDP
requires only .25 hours. Thus, the forgone contribution margin is $36 (6 units
$6 unit contribution margin).
5. The maximum transfer price that the Volkmar Tachometer Division would find
acceptable is $112, computed as follows:
Savings if TCH-320 is produced using an HDP:
Imported control pack............................................................................ $145.00
Other raw material.................................................................................. 5.50
Total savings........................................................................................... $150.50
Less: Incremental costs if TCH-320 is produced using an HDP:
Transportation cost................................................................................ (4.50)
Skilled labor............................................................................................ (34.00)
Net savings if HDP is used.......................................................................... $112.00
If Volkmar's management must pay $112 for an HDP, it will be indifferent between using
the HDP and the imported control pack. If the transfer price is lower than $112, the
Volkmar Tachometer Division will be better off with the HDP. At a transfer price in
excess of $112, Volkmar's management will prefer the control pack.
6. The transfer is in the overall company's best interest. Thus, any transfer price in the
interior of the range $106 to $112 will provide the proper incentives to the management
of each division to agree to a transfer. For example, a transfer price of $109 would split
the range evenly, and make each division better off by making the transfer.
McGraw-Hill/Irwin 2009 The McGraw-Hill Companies,
Inc.
13-46 Solutions Manual
CASE 13-52 (45 MINUTES)
1. Yes, Air Comfort Division should institute the 5% price reduction on its air
conditioner units because net income would increase by $264,000. Supporting
calculations follow:
Before 5%
Price Reduction
After 5%
Price Reduction
Per
Unit
Total
(in thousands)
Per
Unit
Total
(in thousands)
Total
Difference
(in thousands)
Sales revenue $800 $12,000 $760 $13,224 .0 $1,224 .0
Variable costs:
Compressor $140
$ 2,100 $140
$ 2,436.0 $ 336.0
Other direct material 74 1,110 74 1,287.6 177.6
Direct labor 60 900 60 1,044.0 144.0
Variable overhead 90 1,350 90 1,566.0 216.0
Variable selling
36

540 36
626 .4 86 .4
Total variable costs $400 $ 6,000 $400 $ 6,960 .0 $ 960 .0
Contribution margin $400 $ 6,000 $360 $ 6,264 .0 $ 264 .0
Summarized presentation:
Contribution margin of sales increase ($360 2,400) $864,000
Loss in contribution margin on original volume arising from
decrease in selling price ($40 15,000) 600,000
Increase in net income before taxes $264,000
2. No, the Compressor Division should not sell all 17,400 units to the Air Comfort
Division for $100 each. If the Compressor Division does sell all 17,400 units to Air
Comfort, Compressor will only be able to sell 57,600 units to outside customers
instead of 64,000 units due to the capacity restrictions. This would decrease the
Compressor Divisions net income before taxes by $71,000. Compressor Division
would be willing to accept any orders from Air Comfort above the 64,000 unit level at
$100 per unit because there would be a positive contribution margin of $43 per unit.
Supporting calculations follow.
McGraw-Hill/Irwin 2009 The McGraw-Hill Companies,
Inc.
Managerial Accounting, 8/e 13- 47
CASE 13-52 (CONTINUED)
Outside
Sales
Air Comfort
Sales
Selling price ............................................................................... $200 $100
Variable costs:
Direct material.......................................................................... 24 $ 21
Direct labor .............................................................................. 16 16
Variable overhead .......................................................... 20 20
Variable selling expenses ...................................................... 12
Total variable costs ................................................................ $ 72 $ 57
Contribution margin .................................................................. $128 $ 43
Capacity calculation in units:
Total capacity ............................................................................................ 75,000
Sales to Air Comfort ................................................................................. 17,400
Balance .................................................................................................. 57,600
Projected sales to outsiders .................................................................... 64,000
Lost sales to outsiders ............................................................................. 6,400
Solution:
Contribution from sales to Air Comfort ($43 17,400) ..........................
$748,200
Loss in contribution from loss of sales to outsiders ($128 6,400) ....
819,200
Decrease in net income before taxes ...................................................... $ 71,000
3. Yes, it would be in the best interests of Continental Industries for the Compressor
Division to sell the units to the Air Comfort Division at $100 each. The net advantage
to Continental Industries is $625,000 as shown in the following analysis. The net
advantage is the result of the cost savings from purchasing the compressor unit
internally and the contribution margin lost from the 6,400 units that the Compressor
Division otherwise would sell to outside customers.
McGraw-Hill/Irwin 2009 The McGraw-Hill Companies,
Inc.
13-48 Solutions Manual
CASE 13-52 (CONTINUED)
Cost savings by using compressor unit from Compressor Division:
Air Comfort Divisions outside purchase price ..................................... $ 140
Compressor Divisions variable cost to produce (see req. 2). ............. 57
Savings per unit........................................................................................ $ 83
x Number of units................................................................................ x 17,400
Total cost savings..................................................................................... $1,444,200
Compressor Divisions loss in contribution from loss
of sales to outsiders (see req. 2): $128 6,400 ..................................
819,200
Increase in net income before taxes for Continental Industries ........... $ 625,000
4. As the answers to requirements (2) and (3) show, $100 is not a goal-congruent
transfer price. Although a transfer is in the best interests of Continental Industries as
a whole, a transfer of $100 will not be perceived by the Compressor Divisions
management as in that divisions best interests.
McGraw-Hill/Irwin 2009 The McGraw-Hill Companies,
Inc.
Managerial Accounting, 8/e 13- 49