Construct the dual problem associated with the primal problem. Solve the primal problem. Minimize C = 28x + 16y + 4z subject to 7x + 8y + z ≥ 16 x + 2y - ≥ 4 x + y + x ≥ 0, y ≥ 0, z ≥ 0 The minimum is C. = 2z 2 2z 2z ≥ 2 = ( at (x, y, z) =

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.6: Variation
Problem 9E
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Construct the dual problem associated with the primal problem. Solve the primal problem.
Minimize
C = 28x + 16y + 4z
subject to
7x + 8y +
z ≥ 16
2z ≥
x + 2y -
4
x + y +
2z ≥
2
x ≥ 0, y ≥ 0, z ≥ 0
The minimum is C. =
= (
at (x, y, z) =
Transcribed Image Text:Construct the dual problem associated with the primal problem. Solve the primal problem. Minimize C = 28x + 16y + 4z subject to 7x + 8y + z ≥ 16 2z ≥ x + 2y - 4 x + y + 2z ≥ 2 x ≥ 0, y ≥ 0, z ≥ 0 The minimum is C. = = ( at (x, y, z) =
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