The production planner of a company forecasts the sales over the next four months as 2000, 1400, 1100, and 800 units, respectively. During a 60-day period when there were 40 workers, the company produced 15000 units. Assume that the numbers of workdays over the four months are 21, 22, 20, and 18, respectively. There are currently 12 workers employed, and there is no beginning inventory. The unit costs are given as follows: Inventory holding cost is 0.40 TL per unit per month; hiring cost is 140 TL per worker, and firing cost is 110 TL per worker. The planner solves the mathematical model of this problem. The optimal solution gives the following results, where W; is the workforce level in period t W2 W3 W4 15.24 10.18 8.80 8.80 By rounding the values of the workforce levels up, what is the total cost (in TL) of the resulting plan? O a 1558 Ob. 1730 Oc. 1166 Od. 1422 O e. 892

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter4: Linear Programming Models
Section: Chapter Questions
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The production planner of a company forecasts the sales over the next four months as 2000, 1400, 1100, and 800 units, respectively. During a 60-day period when there were 40
workers, the company produced 15000 units. Assume that the numbers of workdays over the four months are 21, 22, 20, and 18, respectively. There are currently 12 workers
employed, and there is no beginning inventory. The unit costs are given as follows: Inventory holding cost is 0.40 TL per unit per month; hiring cost is 140 TL per worker, and firing
cost is 110 TL per worker. The planner solves the mathematical model of this problem. The optimal solution gives the following results, where W; is the workforce level in period t.
W1
W2
W3
W4
15.24
10.18
8.80
8.80
By rounding the values of the workforce levels up, what is the total cost (in TL) of the resulting plan?
O a. 1558
O b. 1730
Oc. 1166
Od. 1422
O e. 892
Transcribed Image Text:The production planner of a company forecasts the sales over the next four months as 2000, 1400, 1100, and 800 units, respectively. During a 60-day period when there were 40 workers, the company produced 15000 units. Assume that the numbers of workdays over the four months are 21, 22, 20, and 18, respectively. There are currently 12 workers employed, and there is no beginning inventory. The unit costs are given as follows: Inventory holding cost is 0.40 TL per unit per month; hiring cost is 140 TL per worker, and firing cost is 110 TL per worker. The planner solves the mathematical model of this problem. The optimal solution gives the following results, where W; is the workforce level in period t. W1 W2 W3 W4 15.24 10.18 8.80 8.80 By rounding the values of the workforce levels up, what is the total cost (in TL) of the resulting plan? O a. 1558 O b. 1730 Oc. 1166 Od. 1422 O e. 892
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