QUESTION FOUR(a) Give an outline of the simplex method for solving an L.L.P. and solve:Maximize Z = 4x, +5x₂ +9x₂ +11x₁,subject to constraints x₂+x₂+x₂+x, ≤15,7x₂ +5x₂+3x₂+2x₂ ≤120,3x, +5x, +10x, +15x₂ ≤100x, 20(j=1,2,3,4.)(b) Use the Big M-method tominimize Z = 60x, +80x₂subject to x, ≤ 400,X₂ > 200,x₁ + x₂=500,x.x₂20.(c) Solve the following problem:Maximize Z= x₁ + 2x₂ + 3x₂subject tox₁-x₂ + x₂ 24,x₁ + x₂ + 2x₂ +58,x₁ - x₂22,X₁, X₂, X, 20.

Answered: Image /qna-images/answer/d14e2ff5-d0b4-40f6-8dcb-6580c6c9f91e.jpg

Answered: QUESTION FOUR (a) Give an outline of…

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

See similar textbooks

Similar questions

In solving maximization problem using simplex method, the optimum column is obtained by getting the column with A. smallest positive value in the Cj - Zj row variables. B. the largest positive value in the Cj - Zj row. C. zero value in the Cj - Zj row. D. the largest negative value in the Cj - Zj row.
Solve the following problem using artificial variables. Maximize z = 3x, + 2x2 subject to the constraints x, + x2 = 80, 4x, + 2x, 2 120, and 5x, + 2x2<300, with x, 0, X2 2 0. The maximum is z = when x1 and x2 %3D (Simplify your answers.)
What is the corresponding system of equations? Restate the problem in terms of equations by adding slack variables or subtracting surplus variables as necessary. Then write the initial simplex tableau. X1 + X2 + X3 S1 = 69 Маximize Z-2x1 + 3x2 — 4xз X1 + X2 + X3 S2 = 48 X1 + X2 X1 20, x2 2 0, X3 0, s, 20, s2 2 0, s3 20 subject to X1 +X2 + X3 <69 + S3 = 60 X1 +X2 + X3 248 X1 +X2 < 60 Write the initial simplex tableau, omitting the z column. Fill in the missing values. X1 20, x2 2 0, X3 20 X1 X2 X3 S1 S2 $3 1 1 1 O 69 1 1 1 0 48 1 1 0| 60 4
Use the simplex method to solve the following simplex problems. a) Maximise 6x1 + 9x2 + 6x3 subject to 3x1 + 2x2 + x3 = 0.
Solve the following LPP problems using Simplex Method: 4. Max Z = X1 - 3 X2 + 2x3 Subject to 3x1 - X2+ 2x3 =0
how don in solve for the optimal combination of labour and capital that maximized output. given 4K2+3KL+6L2 subject to the budget constraint K+L=56
Solve the linear programming problem by the simplex method. Maximize 40x + 30y subject to the following constraints. X + y ≤ 7 + 3y = 12 yz0 - 2x x=0, The maximum value of M is which is attained for x = and y =
Solve the following linear program by simplex method: minimize -x12x₂ 2x1x2 ≤ 4 - x1 + x₂ ≤ 2 3x1 + x2 ≤ 6 x1 + x₂ ≥ 1 x1, x2 > 0
Dal

Recommended textbooks for you

Algebra and Trigonometry (6th Edition)

Algebra

ISBN:

9780134463216

Author:

Robert F. Blitzer

Publisher:

PEARSON

Contemporary Abstract Algebra

Algebra

ISBN:

9781305657960

Author:

Joseph Gallian

Publisher:

Cengage Learning

Linear Algebra: A Modern Introduction

Algebra

ISBN:

9781285463247

Author:

David Poole

Publisher:

Cengage Learning

Algebra and Trigonometry (6th Edition)

Algebra

ISBN:

9780134463216

Author:

Robert F. Blitzer

Publisher:

PEARSON

Contemporary Abstract Algebra

Algebra

ISBN:

9781305657960

Author:

Joseph Gallian

Publisher:

Cengage Learning

Linear Algebra: A Modern Introduction

Algebra

ISBN:

9781285463247

Author:

David Poole

Publisher:

Cengage Learning

Algebra And Trigonometry (11th Edition)

Algebra

ISBN:

9780135163078

Author:

Michael Sullivan

Publisher:

PEARSON

Introduction to Linear Algebra, Fifth Edition

Algebra

ISBN:

9780980232776

Author:

Gilbert Strang

Publisher:

Wellesley-Cambridge Press

College Algebra (Collegiate Math)

Algebra

ISBN:

9780077836344

Author:

Julie Miller, Donna Gerken

Publisher:

McGraw-Hill Education

SEE MORE TEXTBOOKS

QUESTION FOUR (a) Give an outline of the simplex method for solving an L.L.P. and solve: Maximize Z=4x, +5x₂ +9x, +11x₂, subject to constraints x₁ + x₂ + x₂ + x₂ ≤15, 7x₁ +5x₂ + 3x + 2x, 120, 3x, +5x₂ +10x, +15x, ≤100 x, 20(/-1,2,3,4.)