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Steel mills in three cities produce the following amounts of steel: Location Weekly Production (tons) Bethlehem 210 Birmingham 240 Gary 320 770 These mills supply

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

Location

Weekly Production (tons)

Bethlehem

210

Birmingham

240

Gary

320

770

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

Location

Weekly Demand (tons)

1. Detroit

200

2. St. Louis

110

3. Chicago

190

4. Norfolk

240

740

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 Bethlehem to St. Louis. You would like to determine how many tons of steel to transport from each steel mill to each manufacturing plants.

Formulate this problem as a linear programming model and solve it using the computer. What would be the effect on the slacks of the production in Gary of a reduction in production capacity at the Gary mill from 320 tons to 290 tons per week?

The slack in the Gary mill does not change.

The slack in the Gary mill decreases by 20 tons.

The slack in the Gary mill increases by 20 tons.

The slack in the Gary mill decreases by 30 tons.

The slack in the Gary mill increases by 30 tons.

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