Question: Use the simplex method or Excel or some other technology. Assume all variables are nonnegative. 1. Minimize f = x + 2y + 3z subject

Use the simplex method or Excel or some other technology. Assume all variables are nonnegative.

1. Minimize f = x + 2y + 3z subject to

x + z ≤ 20

x + y ≥ 30

y + z ≤ 20

2. Maximize f = - x + 2y + 4z subject to

x + y + z ≤ 40

- x + y + z ≥ 20

x + y - z ≥ 10

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