ProductionA small company produces two products I and II at three facilities A B and C.

Production

A small company produces two products, I and II, at three facilities, A, B, and C. It has orders for 2000 of product I and 1200 of product II. The production capacities and costs per week to operate the three facilities are summarized in the following table.

A

B

C

I

200

200

400

ii

100

200

100

cost/week

$1000

$3000

$4000

How many weeks should each facility operate to fill the company’s orders at a minimum cost, and what is the minimum cost?

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