Planners for a company that makes several models of skateboards are about to prepare the aggregate plan that will cover six periods. They have assembled the following information. Period 1 2 3 4 5 6 Total Forecast 200 200 300 400 500 200 1,800 Costs  Output Regular time=$2 per skateboard Overtime =$3 per skateboard Subcontract =$6 per skateboard  Inventory =$1 per skateboard per period on average inventory Back orders =$5 per skateboard per period    They now want to evaluate a plan that calls for a steady rate of regular-time output, mainly using inventory to absorb the uneven demand but allowing some backlog. Prepare an aggregate plan and determine its cost using the preceding information.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter4: Linear Programming Models
Section: Chapter Questions
Problem 111P
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Planners for a company that makes several models of skateboards are about to prepare the aggregate plan that will cover six periods. They have assembled the following information.

Period

1

2

3

4

5

6

Total

Forecast

200

200

300

400

500

200

1,800

Costs 

Output

Regular time=$2 per skateboard

Overtime =$3 per skateboard

Subcontract =$6 per skateboard 

Inventory =$1 per skateboard per period on average inventory

Back orders =$5 per skateboard per period 

 

They now want to evaluate a plan that calls for a steady rate of regular-time output, mainly using inventory to absorb the uneven demand but allowing some backlog. Prepare an aggregate plan and determine its cost using the preceding information. 

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9781337406659
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Cengage,