M-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: (M-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
M-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: (M-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
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter11: Simulation Models
Section: Chapter Questions
Problem 68P
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Simplex Method (Use Big M-Method by H. Taha)
![M-Method. Consider the following set of constraints:
X1 + X2 + x3 = 7
2x15x2 + x3 > 10
X1, X2, X3 > 0
Solve the problem for each of the following objective functions: (M-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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9bf30edc-55b7-4ea9-8766-e243e6632569%2F7532e5b4-75e2-4315-b7b1-06060d8bf44d%2F128ape_processed.png&w=3840&q=75)
Transcribed Image Text:M-Method. Consider the following set of constraints:
X1 + X2 + x3 = 7
2x15x2 + x3 > 10
X1, X2, X3 > 0
Solve the problem for each of the following objective functions: (M-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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