Operations Management
Assignment 1
Solution
120 boxes
1.1 (a) = 3.0 boxes/hour
40 hours
125 boxes
(b) = 3.125 boxes/hour
40 hours
(c) Change in productivity = 0.125 boxes/hour
0.125 boxes
(d) Percentage change = = 4.167%
3.0
1.3
57,600
0.15 = , where L = number of laborers
(160)(12)( L )
employed at the plant
57,600
So L = = 200 laborers employed
(160)(12)(0.15)
Output
1.7 Productivity =
Input
65 65
(a) Labor productivity = =
(520 × 13) $6,760
= .0096 rugs per labor $
65
(b) Multifactor = 65
productivity (520 × $13) + (100 × $5) + (20 × $50) = = .00787 rugs per $
$8,260
1.9 Last Year This Year Change Percent Change
1,500 1,500 0.33
Labor hrs. = 4.29 = 4.62 = 7.7%
350 325 4.29
1,500 1,500 − 0.02
Capital invested = 0.10 = 0.08 = –20%
15,000 18,000 0.1
1,500 1,500 0.05
Energy (btu) = 0.50 = 0.55 = 10%
3,000 2,750 0.50
Productivity of capital did drop; labor productivity increased as did energy, but by less than the anticipated 15%.
6,600 vans
1.15 (a) = 0.10
x labor-hours
x = 66,000 labor-hours
There are 300 laborers. So,
66,000 labor-hours
= 220 labor-hours/laborer
300 laborers
on average, per month
6,600 vans
(b) Now = 0.11, so x = 60,000 labor-hours
x labor-hours
60,000 labor-hours
so, = 200 labor-hours/laborer
300 laborers on average, per month