Consider the following LP. Max z= 5x, +2x, +3x, subject to X, +5x, +2x, = 30 X - 5x, - 6x, < 40 The optimal solution yields the following objective equation: z+0x, +23x, + 7x, +(5+M)x, +0x, =150 where artificial x, and slack x, are the starting basic variables. a. Write the associated dual problem. b. Determine the dual's optimal solution from the optimal z-equation.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Consider the following LP.
Max z = 5x, +2x, +3x,
subject to
X, +5x, + 2x, = 30
X- 5x, - 6x, <40
The optimal solution yields the following objective equation:
z+0x, + 23x, + 7x, +(5+M)x, +0x, =150
where artificial x, and slack x; are the starting basic variables.
a. Write the associated dual problem.
b. Determine the dual's optimal solution from the optimal z-equation.
Transcribed Image Text:Consider the following LP. Max z = 5x, +2x, +3x, subject to X, +5x, + 2x, = 30 X- 5x, - 6x, <40 The optimal solution yields the following objective equation: z+0x, + 23x, + 7x, +(5+M)x, +0x, =150 where artificial x, and slack x; are the starting basic variables. a. Write the associated dual problem. b. Determine the dual's optimal solution from the optimal z-equation.
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