1.1) Use revised simplex method to solve thefollowing lineur programing problem.Maximize Z = x₁ + x₂ + x3Subject toX₁-24-2x6=5x2 + 2x14-3x5 + x6 =3x3 t2x45xs +bxb=5aj zo.

As per the question we are given a six variable Linear Programming Problem having objective function…

Answered: 1.1) Use revised simplex method to…

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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1. Use the simplex method in tabular form to solve the problem: Maximize Z= 2x1 + 4x2 + 3x3 subject to and 21 +372 +2r3 ≤ 30 21+22+13 ≤ 24 3x1 +52 + 3x3 ≤60 2120, 220, 23 20.
Mail 4. A colleague approaches you with the following simplex tableau: Mar 10, 2022, 8:58 AM Inbox 275 MI hospital all of Monday, Feb t Starred 0 72 0 60 1 4 Snoozed 5 1 0 0 Sent 1 1 1 1 0 22 3 -2 0 -4 1 140 r 19, 2022, 6:43 PM - Chat (a) tableau. Write down these variables, and give their values. Your colleague does not remember which variables to list in the first column of the ons! If we were to solve this problem using the simplex method, what would be the (b) next pivot element? Justify your answer No conversations Start a chat
2. Analyze algebraically what special case in simplex application is present in each of the LP model below. Give an explanation to support your answer. b) Maximize z = 3x₁ + 2x2 Subject to: 4x11x28 4x1 + 3x2 ≤ 12 4x1 + 1x2 ≤8 X1, X2 ≥ 0
6.2 9 please fill in A
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
The initial tableau of a linear programming problem is given. Use the simplex method to solve the problem. X₁ X₂ S₁ $2 2 1 0 1 0 1 0 0 0 0 4 1 -4 1 -2 $3 0 0 1. 0 1000N 13 32 7 The maximum is when x₁ = ₁x₂=₁ $₁=₁ $₂= and s3 = - *2 (Type integers or simplified fractions.)
:How finite difference and collocation methods are useful to solve BVPs. Also discuss stability of each method .
(6) Consider the integral tet dt. %3D
Use the Dual Simplex method (show steps) to solve this LP problem: Min z = 2x₁ + 10x2 + 3x3 2x1 + x₂ + x3 s.t. 8x₁ - x₂ + 4x3 X1, X2, X3 20 > 20 < 10
2. Analyze algebraically what special case in simplex application is present in each of the LP model below. Give an explanation to support your answer. a) Maximize z = 4x1 + 2x2 Subject to: 2X1 X2 ≤2 3x14x2 ≤ 8 X1, X2 ≥ 0
Identify which BFS are degenerate (if any) and which BFS are non-degenerate. Among all BFS, identify one with largest objective function value.
3x2. 22. Solve the following problem for the optimal solution using simplex: minimize 20x, + 10x, + 1-í.x3 subject to xz + 2v, 2 72 *ュー All variables 0 1 2x, + 2xz 2 72 .rz 2 18

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1.1) Use revised simplex method to solve the programing problem. following lincur Maximize Z = x₁ + x₂ + x3 Subject to X₁-24-2x6=5 22 +224-3x5 + x6 =3 23 12x45x5 +6x4 = 5 xj zo.