Determine the optimal results for the following formulations with the simplex method (show all iterations): Maximize Z =5X1 + 9X2 + 7X3 Subject to X1+3X2+2X3 ≤10 3X1+4X2+2X3 ≤12 2X1+X2+2X3 ≤8 X1>= 0 X2>= 0 X3>=0

Determine the optimal results for the following formulations with the simplex method (show all iterations): Maximize Z =5X1 + 9X2 + 7X3 Subject to X1+3X2+2X3 ≤10 3X1+4X2+2X3 ≤12 2X1+X2+2X3 ≤8 X1>= 0 X2>= 0 X3>=0

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

Determine the optimal results for the following formulations with the simplex method (show all iterations):

Maximize Z =5X1 + 9X2 + 7X3

Subject to

X1+3X2+2X3 ≤10

3X1+4X2+2X3 ≤12

2X1+X2+2X3 ≤8

X₁>= 0

X₂>= 0

X₃>=0

Expert Solution

Step 1: Given

Determine the optimal results for the following formulations with the simplex method (show all iterations):

Maximize Z = 5 X1 + 9X2 + 7X3

Subject to

X1+3X2+2X3 ≤10

3X1+4X2+2X3 ≤12

2X1+X2+2X3 $less or equal than$ 8

X1>= 0

X2>= 0

X3>=0

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