Solve the problem for each of the following objective functions: (Two-Pha Method) (a) Maximize z 2x1 + 3x25x3 (b) Minimize z = 2x1 + 3x2 - 5x3 (c) Maximize z = x1 + 2X2 + X3

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Simplex Method (Use Two-Phase Method by H. Taha)

Two-Phase Method. Consider the following set of constraints:
X1 + X2 + x3 = 7
2x1 - 5x2 + x3 > 10
X1, X2, X3 > 0
Solve the problem for each of the following objective functions: (Two-Phase
Method)
(a) Maximize z = 2x1 + 3x2 - 5x3
(b) Minimize z = 2x1 + 3x2 - 5x3
(c) Maximize z = X1 + 2X2 + X3
(d) Minimize z = 4x1 - 8x2 + 3x3
Transcribed Image Text:Two-Phase Method. Consider the following set of constraints: X1 + X2 + x3 = 7 2x1 - 5x2 + x3 > 10 X1, X2, X3 > 0 Solve the problem for each of the following objective functions: (Two-Phase Method) (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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