WSS company makes weatherproof surveillance systems for parking lots. Demand estimates for the next four quarters are 25, 9, 13, and 17 units. Prepare an aggregate plan that uses inventory, regular time and overtime and back orders. Subcontracting is not allowed. Regular time capacity is 15 units for quarters 1 and 2, 18 units for quarters 3 and 4. Overtime capacity is 3 units per quarter. Regular time cost is $2000 per unit, while overtime cost is $3000 per unit. Back order cost is $300 per unit per quarter; inventory holding cost is $100 per unit per quarter. Beginning inventory is zero. Questions At the end of quarter 3, what is the ending inventory of finished systems? Answer: No ending Inventory =0 What is the total cost? 15*2000 + 6*2300 +4*2600 + 9*2000 + 13*2000 + 17*2000 =$132, 200 What is the average cost per unit? Answer 132200 / 64 = $2,066.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter4: Linear Programming Models
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  • WSS company makes weatherproof surveillance systems for parking lots. Demand estimates for the next four quarters are 25, 9, 13, and 17 units. Prepare an aggregate plan that uses inventory, regular time and overtime and back orders. Subcontracting is not allowed. Regular time capacity is 15 units for quarters 1 and 2, 18 units for quarters 3 and 4. Overtime capacity is 3 units per quarter. Regular time cost is $2000 per unit, while overtime cost is $3000 per unit. Back order cost is $300 per unit per quarter; inventory holding cost is $100 per unit per quarter. Beginning inventory is zero.

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  • At the end of quarter 3, what is the ending inventory of finished systems? Answer: No ending Inventory =0
  • What is the total cost? 15*2000 + 6*2300 +4*2600 + 9*2000 + 13*2000 + 17*2000 =$132, 200
  • What is the average cost per unit? Answer 132200 / 64 = $2,066.
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