Find the optimal plan using the transportation method

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Yu Amy Xia has developed a specialized airtight vacuum bag to extend the freshness of seafood shipped to restaurants. She has put together the following demand cost data:

Quarter

Forecast (units)

Regular Time

Overtime

Subcontract

1

500

400

80

100

2

750

400

80

100

3

900

800

160

100

4

450

400

80

100

Initial inventory = 250 units

Regular time cost = $1.00/unit

Overtime cost = $1.50/unit

Subcontract cost = $2.00/unit

Carrying cost = $0.20/unit/quarter

Back order cost = $0.50/unit/quarter

Yu decides that the initial inventory of 250 units will incur the 20¢/unit cost from each prior quarter (unlike the situation in most other companies, where a 0 unit cost is assigned).

a) Find the optimal plan using the transportation method.

b) What is the cost of the plan?

c) Does any regular time capacity go unused? If so, how much in which periods?

d) What is the extent of backordering in units and dollars?

Reference no: EM131359165

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