The planner at a company that makes garden tractors is about to prepare an aggregate production plan that will cover the next 6 months. She has collected the following information: Month Demand Forecast Above the available capacity through permanent workforce 1 1,000 2 1,000 3 2,000 4 3,000 5 4,000 6 1,000 Total: 12,000 Production per month = 20 units per worker Initial inventory = 500 units Desired ending inventory (at the end of month 6) = 0 units Cost:               Hire cost = $500 per temporary worker               Inventory = $10 per tractor per month               Backorder = $150 per tractor per month The optimum aggregate plan is: Month 1 2 3 4 5 6 Total Forecast Demand above regular capacity 1,000 1,000 2,000 3,000 4,000 1,000 12,000 # of temporary workers required 50 50 100 150 200 50   Temp. Workers hired 25 25 50 75 0 0   Temp. workers laid off 0 0 0 0 0 125   Temp. Total workers 25 50 100 175 175 50   Output 500 1,000 2,000 3,500 3,500 1,000 11,500               0 What is the ending inventory in Month 2?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter5: Network Models
Section5.3: Assignment Models
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The planner at a company that makes garden tractors is about to prepare an aggregate production plan that will cover the next 6 months. She has collected the following information:

Month

Demand Forecast Above the available capacity through permanent workforce

1

1,000

2

1,000

3

2,000

4

3,000

5

4,000

6

1,000

Total:

12,000

Production per month = 20 units per worker

Initial inventory = 500 units

Desired ending inventory (at the end of month 6) = 0 units

Cost:

              Hire cost = $500 per temporary worker

              Inventory = $10 per tractor per month

              Backorder = $150 per tractor per month

The optimum aggregate plan is:

Month

1

2

3

4

5

6

Total

Forecast Demand above regular capacity

1,000

1,000

2,000

3,000

4,000

1,000

12,000

# of temporary workers required

50

50

100

150

200

50

 

Temp. Workers hired

25

25

50

75

0

0

 

Temp. workers laid off

0

0

0

0

0

125

 

Temp. Total workers

25

50

100

175

175

50

 

Output

500

1,000

2,000

3,500

3,500

1,000

11,500

             

0

  1. What is the ending inventory in Month 2?
  2. What is the total cost in Month 2?
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Cengage,