Consider the following set of constraints: x1 + 2x2 + 2x3 + 4x4 40 2x1 -

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Consider the following set of constraints:

x1 + 2x2 + 2x3 + 4x4 … 40 2x1 - x2 + x3 + 2x4 … 8 4x1 - 2x2 + x3 - x4 … 10 x1, x2, x3, x4 Ú 0 Solve the problem for each of the following objective functions.

(a) Maximize z = 2x1 + x2 - 3x3 + 5x4.

(b) Maximize z = 8x1 + 6x2 + 3x3 - 2x4.

(c) Maximize z = 3x1 - x2 + 3x3 + 4x4.

(d) Minimize z = 5x1 - 4x2 + 6x3 - 8x4.

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