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Name: Solve the following LP using the simplex method.Maximize z =4.x1+3x2+
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Description: Solve the following LP using the simplex method.Maximize z =4.x1+3x2+6x3 subject to 3x1+2+3x3 0

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Solve the following LP using the simplex method. Maximize z = 4x1+3x2+6x3 subject to 3x1+x2+3x3 < 30, 2x1+2x2+3x3 < 40, ¤1, x2, X3 > 0

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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Topic Video

Question

Solve the following LP using the simplex method.
Maximize z =
4.x1+3x2+6x3 subject to 3x1+2+3x3 < 30, 2x1+2x2+3x3 < 40,
X1, X2, X3 > 0

Expert Solution

Step 1

Given that

Maximize $z = 4 x_{1} + 3 x_{2} + 6 x_{3}$

subject to

$3 x_{1} + x_{2} + 3 x_{3} \leq 30 2 x_{1} + 2 x_{2} + 3 x_{3} \leq 40 x_{1}, x_{2}, x_{3} \geq 0$

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