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Washington Laundry Products, Inc., makes commercial and industrial laundry machi

ID: 376849 • Letter: W

Question

Washington Laundry Products, Inc., makes commercial and industrial laundry machines (the kinds hotels use), and has these aggregate demand requirements for the next six months. The firm has regular capacity for 140 units, and overtime capacity for 40 more. Currently, subcontracting can supply up to 100 units per month, but the subcontracting firm may soon be unavailable.

Month

Demand

Costs and other data

1

220

Previous output level

100 units

2

160

Beginning inventory

200 units

3

200

Stockout cost

$250 per unit

4

210

Inventory holding cost

$100 per unit at end of month

5

200

Unit Cost, regular time

$1,200 per unit

6

190

Subcontracting

$2,000 per unit

Unit Cost, overtime

$1,500 per unit

Hiring workers

$200 per unit

Firing workers

$500 per unit

The firm is pursuing a strategy over the coming year to produce a base quality of 120 using first overtime, and then subcontracting, to meet demand.

What is the cost?

1.251.000

1.668.000

1.334.000

1.330.000

none

Month

Demand

Costs and other data

1

220

Previous output level

100 units

2

160

Beginning inventory

200 units

3

200

Stockout cost

$250 per unit

4

210

Inventory holding cost

$100 per unit at end of month

5

200

Unit Cost, regular time

$1,200 per unit

6

190

Subcontracting

$2,000 per unit

Unit Cost, overtime

$1,500 per unit

Hiring workers

$200 per unit

Firing workers

$500 per unit

Explanation / Answer

The answer is 1,330,000

Total cost = 864,000 + 210,000 + 240,000 + 1000 + 15000 = 1,330,000

Month Demand Regular Overtime Sub-contracting Inv (end of month) Increase initial inv Decrease initial inv Beg Inv 200 1 220 120 0 0 100 5 30 2 160 120 0 0 60 0 0 3 200 120 20 0 0 0 0 4 210 120 40 50 0 0 0 5 200 120 40 40 0 0 0 6 190 120 40 30 0 0 0 Total 1180 720 140 120 0 30 per unit cost 1200 1500 2000 200 500 Cost incurred 864,000 210,000 240,000 1000 15000