Ginger Washer Machine Grande (Henan) Manual Washing
First Cost 300,000 69,161.69 0
Salvage Value 20,000 0 0
Annual Operation 32,000 22,500 90,000
Annual Labor Cost 60,000 25,000 0
Annual Maintenance 5,000 8,000 0
Taxes and Insurance 12% 12% 0
Life, years 10 5 0
*Money is worth at least 10%
BY RATE OF RETURN ON ADDITIONAL INVESTMENT METHOD
Ginger Washer Machine
Annual costs:
Depreciation:
Machine:
300,000−20,000
d=
(1+0.1)10 −1
0.1
d=17,568.71
Operation 32,000
Labor & Salaries 60,000
Maintenance 5,000
Taxes & Insurance 36,000
Total Annual Cost 150,568.71
Grande (Henan)
Annual costs:
Depreciation:
Machine:
69,161.69
d=
(1+0.1)5−1
0.1
d=11,328.51
Operation 22,500
Labor & Salaries 25,000
Maintenance 8,000
Taxes & Insurance 8,299.40
Total Annual Cost 75,127.91
Annual savings 150,568.71-75,127.91=75,440.80
Additional investment 300,000-69,161.69=230,838.31
75,440.80
Rate of return on additional investment x 100%
230,838.31
=32.68%>10%
Grande (Henan) is more economical.
BY THE ANNUAL COST METHOD
Ginger Washer Machine
Annual costs:
Depreciation:
Machine:
300,000−20,000
d= 10
(1+0.1) −1
0.1
d=17,568.71
Operation 32,000
Labor & Salaries 60,000
Maintenance 5,000
Taxes & Insurance 36,000
Interest on Capital 30,000
Total Annual Cost 180,568.71
Grande (Henan)
Annual costs:
Depreciation:
Machine:
69,161.69
d=
(1+0.1)5−1
0.1
d=11,328.51
Operation 22,500
Labor & Salaries 25,000
Maintenance 8,000
Taxes & Insurance 8,299.40
Interest on Capital 6,916.17
Total Annual Cost 82,044.08
*Ginger washer machine>Grande (Henan)
Since annual cost of ginger washer machine is greater than that of the annual cost of Grande
(Henan) machine, grande (Henan) is more economical.
BY THE PRESENT WORTH COST METHOD
Use 10-year study period, which is the least common multiple of 10 and 5.
Ginger Washer Machine
Annual costs = 32,000+5,000+60,000+36,000=133,000
20,000
0 1 2 3 4 5 10
133,000 133,000 133,000 133,000 133,000 133,000
300,000 300,000
PWC= 300,000 + 133,000(P/A, 10%, 10) + 280,000(P/F, 10%, 10) -20,000 (P/F, 10%, 10)
=300,000+817,227.43 +107,952.12-7,710.87
=1,217,468.68
Grande (Henan)
Annual Cost=22,500+25,000+8,000+8,299.4=63,799.40
0 1 2 3 4 5 10
63,799.40 63,799.40 63,799.40 63,799.40 63,799.40 63,799.40
69,161.69 69,161.69 69,161.69
PWC = 69,161.69+ 63,799.40(P/A, 10%, 10) + 69,161.69 (P/F, 10%, 5) +69,161.69 (P/F, 10%, 10)
=69,161.69+392,019.69+42,943.97+26,664.83
=530,790.18
Grande (Henan) should be chosen, since its PWC is lesser than PWC of Ginger Washer Machine
BY THE EQUIVALENT UNIFORM ANNUAL COST METHOD
Ginger Washer Machine
20,000
0 1 2 10
0 1 2 1
0
133,000 133,000 133,000 EUAC EUAC EUAC
EUAC = 300,000 (A/P, 10%, 10) + 133,000– 20,000(A/F, 10%, 10)
= 48,823.62+133,000-1,254.91
=180,568.71
Grande (Henan)
0 1 2 5
0 1 2 5
0 1 2 1
63,799.40 63,799.40 63,799.40 EUAC EUAC
EUAC 0EUAC
EUAC EUAC
69,161.69
EUAC = 69,161.69 (A/P, 10%,5) + 63,799.40
= 18,244.68+63,799.40
=82,044.08
Grande (Henan) should be chosen, since EUAC of Grande (Henan) machine is less than the EUAC
of ginger washer machine.