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?