Steel mills in three cities produce the following amounts of steel: Location A. Bethlehem Weekly…

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

Location

A. Bethlehem

WeeklyProduction(tons)

150

B. Birmingham

210

C. Gary

320

680

These mills supply steel to four cities, where manufacturing plants have the following demand:

Location

WeeklyDemand(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.

 

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