Maximize Z = 5x1+12x2+4x3Subject to,x1+2x2+x3 <=02x1-x2+3x3 =8And x1,x2,x3 >=0The optimum tableau for the primal problem using Big M method isBasicx1x2x3x4RSolution Z003/529/5(-2/5)+M54.8x201-1/52/5-1/512/5x1107/51/52/526/5 Find the optimal solution for the corresponding dual problem using two methods. Also, deduce the primal Z-equation coefficients of the xi,s from the dual constraints.

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Answered: Maximize Z = 5x1+12x2+4x3 Subject to,…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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Maximize Z = 5x₁+12x₂+4x₃

Subject to,

x₁+2x₂+x₃ <=0

2x₁-x₂+3x₃ =8

And x₁,x₂,x₃ >=0

The optimum tableau for the primal problem using Big M method is

Basic	x₁	x₂	x₃	x₄	R	Solution
Z	0	0	3/5	29/5	(-2/5)+M	54.8
x₂	0	1	-1/5	2/5	-1/5	12/5
x₁	1	0	7/5	1/5	2/5	26/5

Find the optimal solution for the corresponding dual problem using two methods. Also, deduce the primal Z-equation coefficients of the x_i^,s from the dual constraints.

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