Use the Simplex method to find the optimal solution to the problem below. Maximize P= 4x1+ 3x2+ x3 Subject to x1+ 2x2–x3≤ 53 x1+ 2x2+ 2x3≤ 25 x1, x2, x3≥ 0 You may use your calculator if you like. Please show me at least the following work:-the initial simplex matrix-the final solution matrix-the optimal solution (example: Max P= 11 at x1= 2, x2= 1, x3= 0)

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
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Chapter6: Linear Systems
Section6.CT: Chapter Test
Problem 25CT
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Use the Simplex method to find the optimal solution to the problem below.

Maximize P= 4x1+ 3x2+ x3

Subject to

x1+ 2x2–x3≤ 53

x1+ 2x2+ 2x3≤ 25

x1, x2, x3≥ 0

You may use your calculator if you like. Please show me at least the following work:-the initial simplex matrix-the final solution matrix-the optimal solution (example: Max P= 11 at x1= 2, x2= 1, x3= 0)

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