Question: 4. Use the simplex method to maximize P = 2x + y + 5z subject to the constraints below: 2x y + z 20 x

4. Use the simplex method to maximize P = 2x + y + 5z subject to the constraints below:

2x y + z 20

x + y + z 50

4x + z 80

x 0, y 0, z 0

Make sure to summarize your final solution, and to state the value of all slack variables.

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