A manufacturer of industrial seafood processing equipment wants you to develop an aggregate plan for the four quarters of the upcoming year using the following data on demand and capacity. Demand for 4 quarters are as follows - Q1 300, Q2 750, Q3 1250, Q4 450. Regular time capacity for Q1 is 400, Q2 500, Q3 750, Q4 400. Overtime capacity for Q1 is 80, Q2 80, Q3 160, Q4 80. Subcontracting capacity is 100 each quarter. Initial inventory is 150. Regular time cost is $1.50/unit. Overtime cost is $2.50/unit. Subcontracting cost is $3.50/unit. Carrying cost is 0.75/unit/quarter. No back ordering is allowed. Find the optimal plan using the transportation method. What is the cost of the plan? [Select] Does any regular time capacity go unused throughout the four period plan? If so, how much? [Select] What there may need to hold units over during the 4 period plan? If so, how many and what

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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A manufacturer of industrial seafood processing equipment wants you to develop an
aggregate plan for the four quarters of the upcoming year using the following data on demand
and capacity. Demand for 4 quarters are as follows - Q1 300, Q2 750, Q3 1250, Q4 450.
Regular time capacity for Q1 is 400, Q2 500, Q3 750, Q4 400. Overtime capacity for Q1 is 80,
Q2 80, Q3 160, Q4 80. Subcontracting capacity is 100 each quarter. Initial inventory is 150.
Regular time cost is $1.50/unit. Overtime cost is $2.50/unit. Subcontracting cost is
$3.50/unit. Carrying cost is 0.75/unit/quarter. No back ordering is allowed.
Find the optimal plan using the transportation method.
What is the cost of the plan? [Select]
Does any regular time capacity go unused throughout the four period plan? If so, how much?
[Select]
What there any need to hold units over during the 4 period plan? If so, how many and what
[Select]
was the cost?
If 30 units were required as ending inventory carried into the next period, based on evaluating
the lowest cost in regards to excess capacity, how much would be added to the total cost
(include holding cost into the next planning period)? [Select]
Transcribed Image Text:A manufacturer of industrial seafood processing equipment wants you to develop an aggregate plan for the four quarters of the upcoming year using the following data on demand and capacity. Demand for 4 quarters are as follows - Q1 300, Q2 750, Q3 1250, Q4 450. Regular time capacity for Q1 is 400, Q2 500, Q3 750, Q4 400. Overtime capacity for Q1 is 80, Q2 80, Q3 160, Q4 80. Subcontracting capacity is 100 each quarter. Initial inventory is 150. Regular time cost is $1.50/unit. Overtime cost is $2.50/unit. Subcontracting cost is $3.50/unit. Carrying cost is 0.75/unit/quarter. No back ordering is allowed. Find the optimal plan using the transportation method. What is the cost of the plan? [Select] Does any regular time capacity go unused throughout the four period plan? If so, how much? [Select] What there any need to hold units over during the 4 period plan? If so, how many and what [Select] was the cost? If 30 units were required as ending inventory carried into the next period, based on evaluating the lowest cost in regards to excess capacity, how much would be added to the total cost (include holding cost into the next planning period)? [Select]
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