During a 46-day period when there were 120 workers, the firm produced 1,700,000 cookies. Assume that there are 100 workers employed at the beginning of month 1 and zero starting inventory. a. Find the minimum constant workforce needed to meet monthly demand. b. Assume c,= SO.10 per cookie per month, cH= $100, and cF = $200. Add columns that give the cumulative on-hand inventory and inventory cost. What is the total cost of the constant workforce plan? c. Solve for the optimal plan using linear programming. Compare your solution to b.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter10: Introduction To Simulation Modeling
Section: Chapter Questions
Problem 41P: At the beginning of each week, a machine is in one of four conditions: 1 = excellent; 2 = good; 3 =...
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35. The Mr. Meadows Cookie Company can obtain accurate forecasts for 12 months based
on firm orders. These forecasts and the number of workdays per month are as follows:
Demand Forecast
Month
(in thousands of cookies)
Workdays
1
850
26
2
1,260
24
3
510
20
4
980
18
770
22
850
23
7
14
1,050
1,550
1,350
1,000
970
680
21
9.
23
10
24
11
21
12
13
During a 46-day period when there were 120 workers, the firm produced
1,700,000 cookies. Assume that there are 100 workers employed at the beginning of
month 1 and zero starting inventory.
a. Find the minimum constant workforce needed to meet monthly demand.
b. Assume cz= $0.10 per cookie per month, cH= $100, and cp = $200. Add columns
that give the cumulative on-hand inventory and inventory cost. What is the total
cost of the constant workforce plan?
c. Solve for the optimal plan using linear programming. Compare your solution to b.
Transcribed Image Text:35. The Mr. Meadows Cookie Company can obtain accurate forecasts for 12 months based on firm orders. These forecasts and the number of workdays per month are as follows: Demand Forecast Month (in thousands of cookies) Workdays 1 850 26 2 1,260 24 3 510 20 4 980 18 770 22 850 23 7 14 1,050 1,550 1,350 1,000 970 680 21 9. 23 10 24 11 21 12 13 During a 46-day period when there were 120 workers, the firm produced 1,700,000 cookies. Assume that there are 100 workers employed at the beginning of month 1 and zero starting inventory. a. Find the minimum constant workforce needed to meet monthly demand. b. Assume cz= $0.10 per cookie per month, cH= $100, and cp = $200. Add columns that give the cumulative on-hand inventory and inventory cost. What is the total cost of the constant workforce plan? c. Solve for the optimal plan using linear programming. Compare your solution to b.
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