aximize z=6x₁ + 2x₂ + x3 bject to: x₁ +3x₂+ 9x3 ≤ 108 X₁ + 2x₂ + 11x3 ≤237 x₁20, X₂20, X3 20. th

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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Question
a. Set up the initial simplex tableau for this linear programming problem.
b. Use the simplex method to solve the linear programming problem.
Maximize z=6x₁ + 2x₂ + x3
subject to:
with
x₁ +3x₂+ 9x3 ≤ 108
X₁ + 2x₂ + 11x3 ≤237
X₁ ≥ 0, X₂ ≥ 0, X3 ≥0.
a. Set up the initial simplex tableau.
X₁
x2
S2 Z
1
0 0
- 2
X3
11
S₁
1
0
0
b. The maximum is
(Simplify your answers.)
0
when =
X₁
0 237
1
=
x₂ =
and x3 = .
Transcribed Image Text:a. Set up the initial simplex tableau for this linear programming problem. b. Use the simplex method to solve the linear programming problem. Maximize z=6x₁ + 2x₂ + x3 subject to: with x₁ +3x₂+ 9x3 ≤ 108 X₁ + 2x₂ + 11x3 ≤237 X₁ ≥ 0, X₂ ≥ 0, X3 ≥0. a. Set up the initial simplex tableau. X₁ x2 S2 Z 1 0 0 - 2 X3 11 S₁ 1 0 0 b. The maximum is (Simplify your answers.) 0 when = X₁ 0 237 1 = x₂ = and x3 = .
Expert Solution
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we use simplex method the process is given below

 

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