# 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

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