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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

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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