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Fort Wayne Plastics Inc is trying to develop a plan for its workforce and production levels for the six-month period from January to June. The firm produces plastic components. Forecast demands over the next six months are 1,304, 633, 809, 1,175, 2,146, and 1,373. There are currently (end of December) 347 workers employed in the plant. Ending inventory in December is expected to be 461 units, and the firm would like to have 575 units on hand at the end of June. The cost of hiring one worker is $546. The cost of firing a worker is $900. The cost of holding one unit of inventory for one month is $60. In the past, the plant manager observed that over 21 working days, with the workforce level constant at 76 workers, the firm produced 233 plastic components. The number of working days per month from January to June for this year is 26, 25, 25, 17, 22, 17. Find the optimal production per month as well as the corresponding optimal cost for this plan. P1= Number P2= Number P3 Number P4 Number P5 = Number P6 Number Total Cost Number 4

Fort Wayne Plastics Inc is trying to develop a plan for its workforce and production levels for the six-month period from January to June. The firm produces plastic components. Forecast demands over the next six months are 1,304, 633, 809, 1,175, 2,146, and 1,373. There are currently (end of December) 347 workers employed in the plant. Ending inventory in December is expected to be 461 units, and the firm would like to have 575 units on hand at the end of June. The cost of hiring one worker is $546. The cost of firing a worker is $900. The cost of holding one unit of inventory for one month is $60. In the past, the plant manager observed that over 21 working days, with the workforce level constant at 76 workers, the firm produced 233 plastic components. The number of working days per month from January to June for this year is 26, 25, 25, 17, 22, 17. Find the optimal production per month as well as the corresponding optimal cost for this plan. P1= Number P2= Number P3 Number P4 Number P5 = Number P6 Number Total Cost Number 4

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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Fort Wayne Plastics Inc is trying to develop a plan for its workforce and production levels for the six-month period from January to June. The firm produces plastic components. Forecast demands over the next six months are 1,304, 633, 809, 1,175, 2,146, and 1,373. There are currently (end of December) 347 workers employed in the plant. Ending inventory in December is expected to be 461 units, and the firm would like to have 575 units on hand at the end of June. The cost of hiring one worker is $546. The cost of firing a worker is $900. The cost of holding one unit of inventory for one month is $60. In the past, the plant manager observed that over 21 working days, with the workforce level constant at 76 workers, the firm produced 233 plastic components. The number of working days per month from January to June for this year is 26, 25, 25, 17, 22, 17. Find the optimal production per month as well as the corresponding optimal cost for this plan. P1 Number P2= Number P3 Number P4 Number P5 = Number P6= Number Total Cost = Number چلے
Transcribed Image Text:Fort Wayne Plastics Inc is trying to develop a plan for its workforce and production levels for the six-month period from January to June. The firm produces plastic components. Forecast demands over the next six months are 1,304, 633, 809, 1,175, 2,146, and 1,373. There are currently (end of December) 347 workers employed in the plant. Ending inventory in December is expected to be 461 units, and the firm would like to have 575 units on hand at the end of June. The cost of hiring one worker is $546. The cost of firing a worker is $900. The cost of holding one unit of inventory for one month is $60. In the past, the plant manager observed that over 21 working days, with the workforce level constant at 76 workers, the firm produced 233 plastic components. The number of working days per month from January to June for this year is 26, 25, 25, 17, 22, 17. Find the optimal production per month as well as the corresponding optimal cost for this plan. P1 Number P2= Number P3 Number P4 Number P5 = Number P6= Number Total Cost = Number چلے
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