Answered: Minimize c = x + y + z + w subject to…

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) = 200,0,0,4200

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

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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) = 200,0,0,4200

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Determine whether the following statement is true or false, and explain why. A surplus variable of a linear programming problem can never have a negative value during the intermediate steps of the simplex method. Choose the correct answer below. O A. The statement is true. A surplus variable always has a positive value during every step of the simplex method, including intermediate steps. B. The statement is false. A surplus variable cannot have a negative value at the beginning or end of the simplex method. It almost always has a negative value during at least some of the intermediate steps. C. The statement is true. A surplus variable can never have a negative value during any step of the simplex method, including intermediate steps. D. The statement is false. A surplus variable cannot have a negative value at the beginning or end of the simplex method. It may have a negative value during an intermediate step.
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