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# Quantitative Methods and Linear Programming

Please refer to the attached file for instructions. Thanks!

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#3:

Given a transportation problem with the following costs, supply, and demand, find the optimal solution using the computer.
To
From 1 2 3 Supply
A \$6 \$7 \$4 100
B 5 3 6 180
C 8 5 7 200
DEMAND 135 175 170

#7:

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
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 using the computer.
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#### Solution Summary

This in-depth, handwritten solution contains a linear programming model that is solved for each scenario provided. All steps are shown clearly.

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