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.
When deleting a basic variable xBr from the simplex tableau, would it be possible to make xBr nonbasic by pivoting on any non-zero element in row r? What difficulties one might encounter with this approach?
Zmax = 3x1 + 7x2 %3D Subject to 2x1 + 3x2< 6 X1 + X2 < 4 X1 2 0, X2 2 0 In the starting simplex tableau, the basic variables are slack variables. The objective value in the next simplex table is
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
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.)
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
3. Consider the following graphs of rational functions. Write down the horizontal and vertical asymptotes, zeros, and y-intercept, as well as any holes (if applicable). Use this information to find a function R(r) for each graph. Note some graphs have the vertical and horizontal asymptotes marked for you, but the others are not marked. a. b. -9 -8 -7 -6-5 -6 -5 4 -3 -1 3 -2 1 2 3 4 56 -1 10 6 -4 2 0 2 4 -6 -8 -10- -12- 1 2 3 4 5 6
Identify which BFS are degenerate (if any) and which BFS are non-degenerate. Among all BFS, identify one with largest objective function value.
Maximize 3x1+2x2+4x3 subject to x1+x2+2x3 <=4 2x1+3x3 <=5 2x1+x2+3x3 <=7 x1,x2,x3 >= 0

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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.