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# How do you solve a linear programming problem using Lingo10 or QM?

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For the following problems, use Lingo10 or QM to solve. MUST include your solution screen shots.

1. Given the following linear programming problem:
Min Z = 2x + 8y
Subject to (1) 8x + 4y 64
(2) 2x + 4y 32
(3) y 2

What is the minimal solution?
Use Lingo10 or QM to solve. Include your solution screen shots

2. Max Z = \$0.30x + \$0.90y
Subject to : 2x + 3.2y 160
4x + 2y 240
y 40
x, y

Solve for the quantities of x and y which will maximize Z. What is the value of the slack variable associated with constraint 2?
Use Lingo10 or QM to solve. Include your solution screen shots

##### Solution Summary

A complete, neat and step-by-step solution is provided in the attached Word file.

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