Consider the following set of constraints: x1 + x2 + x3 = 7 2x1 - 5x2 +

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Consider the following set of constraints:

x1 + x2 + x3 = 7 2x1 - 5x2 + x3 Ú 10 x1, x2, x3 Ú 0 Solve the problem for each of the following objective functions:

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

(b) Minimize z = 2x1 + 3x2 - 5x3.

(c) Maximize z = x1 + 2x2 + x3.

(d) Minimize z = 4x1 - 8x2 + 3x3.

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