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Consider the following LP. Max z = 4x, +8x, +8x, – 6x, subject to X, + X, + X3 = 4 X, + 4x, +x4 = 8 X, X2 , X3, X, 2 0 a. Write the associated dual problem. b. Use the properties of the dual problem to show that the basie solution ( x , x, ) is not optimal c. The optimal solution to the primal LP problem yields the following objective equation: z+ 2x, + 0x, +0x, +3x, = 16 Determine the associated optimal dual solution.

Consider the following LP. Max z = 4x, +8x, +8x, – 6x, subject to X, + X, + X3 = 4 X, + 4x, +x4 = 8 X, X2 , X3, X, 2 0 a. Write the associated dual problem. b. Use the properties of the dual problem to show that the basie solution ( x , x, ) is not optimal c. The optimal solution to the primal LP problem yields the following objective equation: z+ 2x, + 0x, +0x, +3x, = 16 Determine the associated optimal dual solution.

Advanced Engineering Mathematics
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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Consider the following LP. Max z = 4x, +8x, +8x, – 6x, subject to X+ X, +X3 %3D X + 4x, +x, = 8 X, X2, X3, X, 20 a. Write the associated dual problem. b. Use the properties of the dual problem to show that the basic solution ( x, ,x, ) is not optimal The optimal solution to the primal LP problem yields the following objective equation: z+2x, + 0x, +0x, + 3x, = 16 Determine the associated optimal dual solution.
Transcribed Image Text:Consider the following LP. Max z = 4x, +8x, +8x, – 6x, subject to X+ X, +X3 %3D X + 4x, +x, = 8 X, X2, X3, X, 20 a. Write the associated dual problem. b. Use the properties of the dual problem to show that the basic solution ( x, ,x, ) is not optimal The optimal solution to the primal LP problem yields the following objective equation: z+2x, + 0x, +0x, + 3x, = 16 Determine the associated optimal dual solution.
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