Min z = -5x₁ + x₂ = x3 subject to: x₁2x2 + x3 ≥ 3 4x13x2x3 ≤ 10 X1, X20 3 unrestricted subject to: Max z = 4x1 2x1 x3 = 5 x2 + 3x3 -7 3x1 + x₂ ≤ 6 X1, X2, X3 20 2x₂ + x3

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter11: Simulation Models
Section11.5: Simulating Games Of Chance
Problem 41P: Consider the following card game. The player and dealer each receive a card from a 52-card deck. At...
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Find the corresponding dual problem of the given primal problem.
subject to:
Min z = 5x₁ + x₂ - X3
-
X1 2x2 + x3 ≥ 3
4x13x2x3 ≤ 10
X1, X2 ≥ 0
3 unrestricted
Max z = 4x₁2x2 + x3
-
subject to:
2x₁ - x3 = 5
x2 + 3x3 ≤ -7
3x1 + x₂ ≤ 6
X1, X2, X30
Transcribed Image Text:Find the corresponding dual problem of the given primal problem. subject to: Min z = 5x₁ + x₂ - X3 - X1 2x2 + x3 ≥ 3 4x13x2x3 ≤ 10 X1, X2 ≥ 0 3 unrestricted Max z = 4x₁2x2 + x3 - subject to: 2x₁ - x3 = 5 x2 + 3x3 ≤ -7 3x1 + x₂ ≤ 6 X1, X2, X30
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