Consider the following LP:Max z = 5x1 + 3x2 + x3subject to2x1 + x2 + x3 S 6X1 + 2x2 + x3 S 7X1, X2, X3 2 0a. Formulate and graphically solve the dual of this LP.b. Use complementary slackness to solve the max problem.

We are given a primal of some LPP. We will use the duality theory to compute its dual. evidently,…

Answered: Consider the following LP: Max z = 5x1…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter9: Systems Of Equations And Inequalities

Section9.7: The Inverse Of A Matrix

Problem 30E

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Consider the following LPmax x1 + x2s.t. x1 −x2 ≤2 (y1)−2x1 + 3x2 ≤2 (y2)−x1 −2x2 ≤−1 (y3)x1, x2 ≥01. Write down the dual of the primal LP.2. Based on complementary slackness, argue whether x1 = 2, x2 = 2 is an optimal solution to the primalLP.
Consider the following LPP: maximize: c1x1 + c2x2subject to: a1x1 +a2x2 = b here a1 > a2 > 0, and c1 > c2 > 0, and b > 0. (a) Change this problem to canonical form. (b) Assume a1/a2 − c1/c2 = 0 and use the two-phase method to solve this LPP.

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Consider the following LP: Max z = 5x1 + 3x2 + x3 subject to 2x1 + x2 + x3 S 6 X1 + 2x2 + x3 S7 X1,X2, X3 2 0 a. Formulate and graphically solve the dual of this LP. o. Use complementary slackness to solve the max problem.