1. Solve the following linear programmne using the 2-phase simplex algorithm. Youshould give the initial tableau and each further tableau produced during the exe-cution of the algorithm. If the program has an optimal solution, give this solutionand state its objective value. If it does not have an optimal solution, say why.2x2x34x4no needmaximize x1-subject to 2x1+x22x3 — x4 ≥ 1,5x1 x2 x3x4 -1,2x1 x2 x3 3x4 2,X1, X2, X3, X4 ≥ 0.2. Apply the first phase of the 2-phase simplex algorithm to the following linear pro-gramme giving the initial tableau and each further tableau produced. Give thestarting tableau for the second phase if there is one.maximize2x1 + x2 + 3x3x2-x32,subject tox13x2+2x3 ≥ 3,2x12x2 x3 = 4,X1, X2, X3 0.

2. Given, a linear programming problem:Max Subject toIt is required to solve the linear program…

Answered: Apply the first phase of the 2-phase…

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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IN OCTAVE Use Jacobi's algorithm to solve the following system of equations witha tolerance es =5%
Q6. Consider the following linear program in standard maximization form: -5 max{r1 – x2} subject to -4 X1, 12 a) Use the Simplex Method (as seen in class) to solve the above linear program. Be sure to: o Indicate all slack and artificial variables you introduce. o Indicate the objective S of the extended tableau. o Whenever your tableau is in RRREF, indicate the current solution's values for all vari- ables. o Before pivoting, indicate the entry you plan to convert to the next pivot. o Clearly indicate why you should stop the algorithm and give a precise conclusion. b) Draw the feasible region in a fairly large and well-scaled diagram. Determine the coordi- nates of each vertex and label the vertices of the feasible region in your diagram. c) Based on the graphical approach, describe the optimal solutions of this LP (if any). VI VI AI
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