mathamatical of operation research 7) Show that if ties are broken in favor of lower-numbered rows, then cycling occurswhen the simplex method is used to solve the following LP:Маx Z-3X1 + X2 - 6X3Subject to:9X1 + X2 - 9X3 - 2X4 < 0X1 + X2/3 - 2X3- X4/3 < 0-9X1 - X2 + 9X3 + 2X4 < 1X1, X2, X3, X42 0

In this question, concept of Simplex Method is applied. Simplex method:The simplex approach is a…

Answered: 7) Show that if ties are broken in…

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter6: Linear Systems

Section6.2: Guassian Elimination And Matrix Methods

Problem 10E

See similar textbooks

Similar questions

Solve the following LPP using Simplex method Max P = 4X₁ + 3X2 + 4X3 + 6X4 Subjected to X₁ + 2X2 + 2X3 + 4X4 2X1+ 0X2 +2X3 + X4 -3X₁-3X₂ X3 - X4 = -80 Where X₁, X2, X3, X4 >= 0
Q1/ Use the simplex method to Solve the following problem? Max Z = 8 x1 + 10 x2 +7 x3 Subject to: x1 +3 x2 + 2 x3 < 10 x1 +5 x2 + x3 < 8 x1, x2, x3 20
4 Show that if ties are broken in favor of lower-numbered rows, then cycling occurs when the simplex method is used to solve the following LP: max z = -3x1 + x2 – 6x3 9x1 + x2 - 9x3 – 2x4 5 0 Xi + - 2x3 - s 0 -9x1 - x2 + 9x3 + 2x4 < 1 X, 2 0 (i = 1, 2, 3, 4)
Find the optimal solution by simplex method 3 X, - 150x, + 1 Max Z X; - 6X4 50 s/t 25x, - 600x, – 4x, + 900x, s 0 25x, - 4500x, - Xz + 150x4 3 0 Xz 3 1 uhere x;¿ O
Consider solving the linear system 2x1 + x2 – x3 + 2x4 4х1 + 5а2 — Заз + бх4 — 2х1 + 5х2 — 2а3 + бӕ4 3 421 + 11г2 — 4ӕз + 824 - 5 94 N
Formulate equations for these problems to find the solution using Gauss-Jordan Elimination of the augmentedmatrix. A fruit stall sells two varieties of kiwi: standard and deluxe. A box of standard kiwi sells for $7, and a box ofdeluxe kiwi sells for $10. In one day, the stand sells 135 boxes of strawberries for a total of $1110. How manyboxes of each type were sold?
Use the simplex method to solve the following. z = 3x₁ + 3x₂ - 6x3 5x₁ + 5x₂ - 10x3 ≤ 75 6x₁ + 6x₂ + 12x3 ≤ 104 X₁ ≥ 0, X₂ ≥0, X3 ≥ 0. Maximize subject to Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. Treating x₂ as a nonbasic variable, the maximum is x₁ =₁ X₂ = ‚ X3: S₁ = 0 and $₂ B. There is no maximum solution for this problem. when
Can I get some help with this Row Space problem?
4. Suppose that x, y, z satisfy the equations x + y + z 5 - a 2x + y 7- a x - y - 2z 0, where a is some number. Use row operations to determine the values of and z, in x, Y terms of a. For what values of a will x, Y, z all be positive?
Solve the minimization problem by solving the dual maximation problem by the simplex method
Q2. By using simplex method, maximise f = 2x, +3x, subjected to: 5x, +3x, <105 Зх, + 6х, < 126
Show that the system x1 + 2x2 – x3 = a - 2.x1 + x2 + 3x3 = 6 4.x2 + 9x3 = C is inconsistent unless c = 2b – 3a. -

SEE MORE QUESTIONS

Recommended textbooks for you

College Algebra (MindTap Course List)

Algebra

ISBN:

9781305652231

Author:

R. David Gustafson, Jeff Hughes

Publisher:

Cengage Learning

College Algebra (MindTap Course List)

Algebra

ISBN:

9781305652231

Author:

R. David Gustafson, Jeff Hughes

Publisher:

Cengage Learning

SEE MORE TEXTBOOKS

7) Show that if ties are broken in favor of lower-numbered rows, then cycling occurs when the simplex method is used to solve the following LP: Маx Z -3X1 + X2 - 6X3 Subject to: 9X1 + X2 - 9X3- 2X4 < 0 X + X/3 - 2Xз-X/3 < 0 -9X1 - X2 + 9X3 + 2X4 < 1 X1, X2 X3, X42 0