5. Consider the following linear programming problem:Minimize: C = 4x1 + 5x2subject to:2x1 + x₂ ≥ 12X1 + X2 ≥ 9X2 ≥ 4X1, X2 ≥ 05.1 Form the matrix A, using the coefficients and constants in the problem constraints and objectivefunction. Find AT. State the dual problem.5.2 Write the initial simplex tableau for the dual problem.5.3 Solve the linear program problem using the simplex method. Show the pivot operations.

Given information Linear programming problem:- Minimize: C=4x1 +5x2subject to: 2x1+x2 ≥12 x1+x2…

Answered: 5. Consider the following linear…

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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6.2 5 please help with A B C
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Consider the problemMaximize z = x1 + 5x2 + 3x3subject tox1 + 2x2 + x3 = 62x1 - x2 = 8x1, x2, x3 >= 0The variable x3 plays the role of a slack. Thus, no artificial variable is needed in the firstconstraint. In the second constraint, an artificial variable, R, is needed. Solve the problemusing x3 and R as the starting variables.
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