Consider the following set of constraints: X1 + X2 + x3 = 7 2x1 - 5x2 +
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X1 + X2 + x3 = 7
2x1 - 5x2 + x3 ≥ 10
X1, x2, x3 ≥ 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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