problem shown in the table below. Cost of regular production is $15 per unit, the cost of producing the same unit on overtime is $22.50, the cost of subcontracting is $27 per unit, and the cost of carrying a unit in inventory from one month to the is $10. Forecast Beginning Inventory Regular Time Overtime Subcontracting Ending Inventory July 800 140 August September October November 650 450 550 900 The labor contract at the plant prohibits both overtime and subcontracting output to exceed 250 units in any five-month window. The plant capacity is 20 units per day produced using two shifts and the plant runs seven days a week. By policy, management wants to avoid stockouts. August O September Which month has a positive ending inventory for the optimal aggregate plan for Scenario 8.3?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter9: Decision Making Under Uncertainty
Section: Chapter Questions
Problem 30P
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Scenario 8.3- Mousetraps
A company faces the aggregate planning problem shown in the table below. Cost of regular
production is $15 per unit, the cost of producing the same unit on overtime is $22.50, the cost
subcontracting is $27 per unit, and the cost of carrying a unit in inventory from one month to the next
is $10.
Forecast
Beginning Inventory
Regular Time
Overtime
Subcontracting
Ending Inventory
The labor contract at the plant prohibits both overtime and subcontracting output to exceed 250
units in any five-month window. The plant capacity is 20 units per day produced using two shifts and
the plant runs seven days a week. By policy, management wants to avoid stockouts.
August
Which month has a positive ending inventory for the optimal aggregate plan for Scenario 8.3?
September
July
800
140
O October
August September October November
650 450
550
900
November
Transcribed Image Text:Scenario 8.3- Mousetraps A company faces the aggregate planning problem shown in the table below. Cost of regular production is $15 per unit, the cost of producing the same unit on overtime is $22.50, the cost subcontracting is $27 per unit, and the cost of carrying a unit in inventory from one month to the next is $10. Forecast Beginning Inventory Regular Time Overtime Subcontracting Ending Inventory The labor contract at the plant prohibits both overtime and subcontracting output to exceed 250 units in any five-month window. The plant capacity is 20 units per day produced using two shifts and the plant runs seven days a week. By policy, management wants to avoid stockouts. August Which month has a positive ending inventory for the optimal aggregate plan for Scenario 8.3? September July 800 140 O October August September October November 650 450 550 900 November
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