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Minimize c = x + y + z + w subject to 5x y + W 2 9,000 z + w≤ ≤ S 4,000 200 x + y x ≥ 0, y ≥ 0, z ≥ 0, w ≥ 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

Finite Math - Simplex Method: General Linear Programming Problems

Can you please solve without technology and show the step-by-step process?

*Please note that I have already tried entering the values shown below and they came back as wrong*

P=4200
(x,y,z,w) = (200,0,0,4000)

Minimize c = x + y + z + w subject to
5x - y + w z 9,000
z + w≤
4,000
X + Y
200
x ≥ 0, y ≥ 0, z ≥ 0, w ≥ 0.
p =
4200
X
(x, y, z, w) = 200,0,0,4000

Expert Solution

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Step 1: Analysis and Introduction:

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Step 2: Convert the inequalities into equations.

VIEW

Step 3: Initial Simplex Table

Step 4: Iteration 1:

Step 5: Iteration 2:

Solution

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Solved in 6 steps

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