4.9-4. Consider the following problem. Z=x₁7x₂ + 3 x3, Maximize subject to 2x₁ + x₂-x3 ≤4 4x₁ - 3x₂ ≤2 - 3x₂ + 2x₂ + x3 ≤3 (resource 1) (resource 2) (resource 3) and x₁ ≥ 0, X₂ ≥ 0, x3 20. DI (a)Work through the simplex method step by step to solve the problem. (b) Identify the shadow prices for the three resources and describe their significance.

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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4.9-4. Consider the following problem.
Z=x₁7x₂ + 3 x3,
Maximize
subject to
2x₁ + x₂-x3 ≤4
4x₁ - 3x₂
≤2
-3x₂ + 2x₂ + x3 <3
(resource 1)
(resource 2)
(resource 3)
and
x₁ ≥ 0,
x₂ ≥ 0,
x3 20.
DI (a)Work through the simplex method step by step to solve the problem.
(b) Identify the shadow prices for the three resources and describe their significance.
Transcribed Image Text:4.9-4. Consider the following problem. Z=x₁7x₂ + 3 x3, Maximize subject to 2x₁ + x₂-x3 ≤4 4x₁ - 3x₂ ≤2 -3x₂ + 2x₂ + x3 <3 (resource 1) (resource 2) (resource 3) and x₁ ≥ 0, x₂ ≥ 0, x3 20. DI (a)Work through the simplex method step by step to solve the problem. (b) Identify the shadow prices for the three resources and describe their significance.
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