Manager T. C. Downs of Plum Engines, a producer of lawnmowers and leaf blowers, must develop an aggregate plan given the forecast for engine demand shown in the table. The department has a regular output capacity of 105 engines per month. Regular output has a cost of S65 per engine. The beginning inventory is zero engines. Overtime has a cost of $120 per engine. Month Total Forecast 95 100 115 400 Compare the costs to a level plan that uses inventory to absorb fluctuations. Inventory carrying cost is $3 per engine per month. Backlog cost is $100 per engine per month. There should not be a backlog in the last month. Set regular production equal to the monthly average of total forecasted demand Assume that using overtime is not an option. (Negative amounts should be indicated by a minus sign. Leave no cells blank - be certain to enter "0" wherever required. Round average inventory row, Inventory cost row, and Total row values to 1 decimal. Do not write the Dollar sign ($)

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter5: Network Models
Section5.3: Assignment Models
Problem 12P
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QUESTION 1
Manager T. C. Downs of Plum Engines, a producer of lawnmowers and leaf blowers, must develop an aggregate plan given the forecast for engine
demand shown in the table. The department has a regular output capacity of 105 engines per month. Regular output has a cost of $65 per engine. The
beginning inventory is zero engines. Overtime has a cost of $120 per engine.
Month
Total
Forecast
95
100
115
400
Compare the costs to a level plan that uses inventory to absorb fluctuations. Inventory carrying cost is $3 per engine per month. Backlog cost is $100
per engine per month. There should not be a backlog in the last month. Set regular production equal to the monthly average of total forecasted demand
Assume that using overtime is not an option.
(Negative amounts should be indicated by a minus sign. Leave no celis blank - be certain to enter "0" wherever required. Round average
inventory row, Inventory cost row, and Total row values to 1 decimal. Do not write the Dollar sign (S))
Transcribed Image Text:QUESTION 1 Manager T. C. Downs of Plum Engines, a producer of lawnmowers and leaf blowers, must develop an aggregate plan given the forecast for engine demand shown in the table. The department has a regular output capacity of 105 engines per month. Regular output has a cost of $65 per engine. The beginning inventory is zero engines. Overtime has a cost of $120 per engine. Month Total Forecast 95 100 115 400 Compare the costs to a level plan that uses inventory to absorb fluctuations. Inventory carrying cost is $3 per engine per month. Backlog cost is $100 per engine per month. There should not be a backlog in the last month. Set regular production equal to the monthly average of total forecasted demand Assume that using overtime is not an option. (Negative amounts should be indicated by a minus sign. Leave no celis blank - be certain to enter "0" wherever required. Round average inventory row, Inventory cost row, and Total row values to 1 decimal. Do not write the Dollar sign (S))
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