Steel mills in three cities produce the following amounts of steel:

Location Weekly Production (tons)

A. Bethlehem 150 B. Birmingham 210 C. Gary 320 680 These mills supply steel to four cities, where manufacturing plants have the following demand:

Location Weekly Demand (tons)

1. Detroit 130 2. St. Louis 70 3. Chicago 180 4. Norfolk 240 620 Shipping costs per ton of steel are as follows:

To (cost)

From 1 2 3 4 A $14 $ 9 $16 $18 B 11 8 7 16 C 16 12 10 22 Because of a truckers’ strike, shipments are prohibited from Birmingham to Chicago. Formulate this problem as a linear programming model and solve it by using the computer. LO.1