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The president of Hill Enterprises, Terri Hill, projects the firm\'s aggregate de

ID: 470781 • Letter: T

Question

The president of Hill Enterprises, Terri Hill, projects the firm's aggregate demand requirements over the next 8 months as follows: Her operations manager is considering a new plan, which begins in January with 200 units of inventory on hand. Stockout cost of lost sales is $125 per unit. Inventory holding cost is $20 per unit per month. Ignore any idle-time costs. The plan is called plan A. Plan A: Vary the workforce level to execute a strategy that produces the quantity demanded in the prior month. The December demand and rate of production are both 1.600 units per month. The cost of hiring additional workers is $55 per unit. The cost of laying off workers is $75 per unit. Evaluate this plan. (Enter all responses as whole numbers.)

Explanation / Answer

Month

Demand

Production

Hire (units)

Layoff (units)

Ending Inventory

Stockouts (units)

December

1600

1600

200

January

1500

1600

0

0

300

0

February

1600

1500

0

100

200

0

March

1800

1600

100

0

0

0

April

1800

1800

200

0

0

0

May

2200

1800

0

0

0

400

June

2300

2200

400

0

0

500

July

1700

2300

100

0

100

0

August

1700

1700

0

600

100

0

Total

800

700

700

900

Ending Inventory = Production + ending inventory of previous month – Demand

Stockout cost = $125 per unit

Holding cost = $20 per unit per month

Hiring cost = $55 per unit

Layoff cost = $75 per unit

Total hiring cost = $55 x total hire (units) = $55 x 800 = $44,000

Total layoff cost = $75 x total layoff (units) = $75 x 700 = $52,500

Total inventory cost = $20 x total inventory hold = $20 x 700 = $14,000

Total Stockout cost = $125 x total stockout (units) = $125 x 900 = $112,500

Total Aggregated planning cost = $223,000

Month

Demand

Production

Hire (units)

Layoff (units)

Ending Inventory

Stockouts (units)

December

1600

1600

200

January

1500

1600

0

0

300

0

February

1600

1500

0

100

200

0

March

1800

1600

100

0

0

0

April

1800

1800

200

0

0

0

May

2200

1800

0

0

0

400

June

2300

2200

400

0

0

500

July

1700

2300

100

0

100

0

August

1700

1700

0

600

100

0

Total

800

700

700

900

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