2. Consider the following set of constraints: Xl + 2X2 + 2X3 + 4X4 :5 40 2x1...
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2. Consider the following set of constraints:
Xl + 2X2 + 2X3 + 4X4 :5 40 2x1 - x2 + X3 + 2X4 :5 8 4x1 - 2X2 + X3 - X4:5 10 Solve the problem for each of the following objective functions.
(a) Maximize z = 2Xl + X2 - 3X3 + 5X4'
(b) Maximize z = 8Xl + 6X2 + 3X3 - 2X4'
(c) Maximize z = 3x1 - X2 + 3X3 + 4X4'
(d) Minimize z = 5xI - 4x2 + 6X3 - 8X4'
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