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The Yeasty Brewing Company Produces a popular local beer known as Iron Stomach. Beer sales are somewhat seasonal, and Yeasty is planning its production and workforce levels on March 31 for the next six months. The demand forecasts are as follows: Month April May June July August September Production Days 14 20 24 26 20 18 Forecasted Demand (in hundreds of cases) 75 100 200 140 100 50 As of March 31, Yeasty had 70 workers on the payroll. Over a period of 20 working days when there are 100 workers on the pay roll, Yeasty produced 10,000 cases of beer. The cost to hire each worker is $200 and the cost of laying off each worker is $400. Holding costs amount to 1 dollar per case per month. As of March 31, Yeasty expects to have 3,000 cases of beer in stock. It plans to start October with 3,500 cases on hand. a) Formulate the problem of planning Yeasty's production levels as a linear program. b) Use Excel solver to solve the problem and give the solution (decision variables and objective value)

The Yeasty Brewing Company Produces a popular local beer known as Iron Stomach. Beer sales are somewhat seasonal, and Yeasty is planning its production and workforce levels on March 31 for the next six months. The demand forecasts are as follows: Month April May June July August September Production Days 14 20 24 26 20 18 Forecasted Demand (in hundreds of cases) 75 100 200 140 100 50 As of March 31, Yeasty had 70 workers on the payroll. Over a period of 20 working days when there are 100 workers on the pay roll, Yeasty produced 10,000 cases of beer. The cost to hire each worker is $200 and the cost of laying off each worker is $400. Holding costs amount to 1 dollar per case per month. As of March 31, Yeasty expects to have 3,000 cases of beer in stock. It plans to start October with 3,500 cases on hand. a) Formulate the problem of planning Yeasty's production levels as a linear program. b) Use Excel solver to solve the problem and give the solution (decision variables and objective value)

Practical Management Science
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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The Yeasty Brewing Company Produces a popular local beer known as Iron Stomach. Beer sales are somewhat seasonal, and Yeasty is planning its production and workforce levels on March 31 for the next six months. The demand forecasts are as follows: Month April May June July August September Production Days 14 20 24 26 20 18 Forecasted Demand (in hundreds of cases) 75 100 200 140 100 50 As of March 31, Yeasty had 70 workers on the payroll. Over a period of 20 working days when there are 100 workers on the pay roll, Yeasty produced 10,000 cases of beer. The cost to hire each worker is $200 and the cost of laying off each worker is $400. Holding costs amount to 1 dollar per case per month. As of March 31, Yeasty expects to have 3,000 cases of beer in stock. It plans to start October with 3,500 cases on hand. a) Formulate the problem of planning Yeasty's production levels as a linear program. b) Use Excel solver to solve the problem and give the solution (decision variables and objective value)
Transcribed Image Text:The Yeasty Brewing Company Produces a popular local beer known as Iron Stomach. Beer sales are somewhat seasonal, and Yeasty is planning its production and workforce levels on March 31 for the next six months. The demand forecasts are as follows: Month April May June July August September Production Days 14 20 24 26 20 18 Forecasted Demand (in hundreds of cases) 75 100 200 140 100 50 As of March 31, Yeasty had 70 workers on the payroll. Over a period of 20 working days when there are 100 workers on the pay roll, Yeasty produced 10,000 cases of beer. The cost to hire each worker is $200 and the cost of laying off each worker is $400. Holding costs amount to 1 dollar per case per month. As of March 31, Yeasty expects to have 3,000 cases of beer in stock. It plans to start October with 3,500 cases on hand. a) Formulate the problem of planning Yeasty's production levels as a linear program. b) Use Excel solver to solve the problem and give the solution (decision variables and objective value)
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