Production Predicted Demand Month Days (in $10,000) January February March 22 340 380 16 21 220 April May June 19 100 23 490 20 625 July August September October 24 375 12 310 19 175 22 145 November December 20 120 16 165

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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A local semiconductor firm, Superchip, is planning its workforce and production levels over the next year. The firm makes a variety of microprocessors and uses sales dollars as its aggregate production measure. Based on orders received and sales forecasts provided by the marketing department, the estimate of dollar sales for the next year by month is as follows: (given)

Inventory holding costs are based on a 25 percent annual interest charge. It is anticipated that there will be 675 workers on the payroll at the end of the current year and inventories will amount to $120,000. The firm would like to have at least $100,000 of inventory at the end of December next year. It is estimated that each worker accounts for an average of $60,000 of production per year (assume that one year consists of 250 working days). The cost of hiring a new worker is $200, and the cost of laying off a worker is $400.
a. Formulate this as a linear program.
b. Solve the problem. Round the variables in the resulting solution and determine the cost of the plan you obtain.

Production
Predicted Demand
Month
Days
(in $10,000)
January
February
March
22
340
380
16
21
220
April
May
June
19
100
23
490
20
625
July
August
September
October
24
375
12
310
19
175
22
145
November
December
20
120
16
165
Transcribed Image Text:Production Predicted Demand Month Days (in $10,000) January February March 22 340 380 16 21 220 April May June 19 100 23 490 20 625 July August September October 24 375 12 310 19 175 22 145 November December 20 120 16 165
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