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.)
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.)
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,...
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Question
![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 ≤100
x, 20(j=1,2,3,4.)
(b) Use the Big M-method to
minimize Z = 60x, +80x₂
subject to x, ≤ 400,
X₂ > 200,
x₁ + x₂=500,
x.x₂20.
(c) Solve the following problem:
Maximize Z= x₁ + 2x₂ + 3x₂
subject to
x₁-x₂ + x₂ 24,
x₁ + x₂ + 2x₂ +58,
x₁ - x₂
22,
X₁, X₂, X, 20.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F49263e7a-a8ce-4109-b210-7e64bd4c7eb1%2Fd14e2ff5-d0b4-40f6-8dcb-6580c6c9f91e%2Fi0585c_processed.png&w=3840&q=75)
Transcribed Image Text: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 ≤100
x, 20(j=1,2,3,4.)
(b) Use the Big M-method to
minimize Z = 60x, +80x₂
subject to x, ≤ 400,
X₂ > 200,
x₁ + x₂=500,
x.x₂20.
(c) Solve the following problem:
Maximize Z= x₁ + 2x₂ + 3x₂
subject to
x₁-x₂ + x₂ 24,
x₁ + x₂ + 2x₂ +58,
x₁ - x₂
22,
X₁, X₂, X, 20.
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