Spring and Summer Fashions, a clothing producer, has generated a forecast for the next eight weeks.Demand is expected to be fairly steady, except for periods 3 and 4, which have higher demands.Period 1 2 3 4 5 6 7 8 TotalForecast 1,200 1,200 1,400 3,000 1,200 1,200 1,200 1,200 11,600The company typically hires seasonal workers to handle the extra workload in periods 3 and 4. Thecost for hiring and training a seasonal worker is $50 per worker, and the company plans to hire twoadditional workers and train them in period 3, for work in period 4, and then lay them off (no cost forlayoff). Develop an aggregate plan that uses steady output from regular workers with added outputfrom the two seasonal workers in period 4. The output rate for the seasonal workers is slightly lessthan that of regular workers, so their cost per unit is higher. The cost per unit for regular workers is$4 per unit, while cost per unit for the seasonal workers is $5 per unit. Backlog cost is $1 per unitper period.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter9: Decision Making Under Uncertainty
Section: Chapter Questions
Problem 46P
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Spring and Summer Fashions, a clothing producer, has generated a forecast for the next eight weeks.
Demand is expected to be fairly steady, except for periods 3 and 4, which have higher demands.
Period 1 2 3 4 5 6 7 8 Total
Forecast 1,200 1,200 1,400 3,000 1,200 1,200 1,200 1,200 11,600
The company typically hires seasonal workers to handle the extra workload in periods 3 and 4. The
cost for hiring and training a seasonal worker is $50 per worker, and the company plans to hire two
additional workers and train them in period 3, for work in period 4, and then lay them off (no cost for
layoff). Develop an aggregate plan that uses steady output from regular workers with added output
from the two seasonal workers in period 4. The output rate for the seasonal workers is slightly less
than that of regular workers, so their cost per unit is higher. The cost per unit for regular workers is
$4 per unit, while cost per unit for the seasonal workers is $5 per unit. Backlog cost is $1 per unit
per period.

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