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 − 2z ≥ 4 x + y + 2z ≥ 2 x ≥ 0, y ≥ 0, z ≥ 0 The minimum is C = at (x, y, z) =

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 − 2z ≥ 4 x + y + 2z ≥ 2 x ≥ 0, y ≥ 0, z ≥ 0 The minimum is C = at (x, y, z) =

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

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	−	2z	≥	4
x	+	y	+	2z	≥	2
x ≥ 0, y ≥ 0, z ≥ 0

The minimum is C = at

(x, y, z) =

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