a. Write the algorithm for Simplex Method, Also Solve the following Linear Programming Problem (LPP) by using simplex Method: Max Z = 3x1 + 2x2 Subject to 4x, + 3x2 s 12 4x, + x2 5 8 4x, - x2 58 X , X2 20 b.Define Duality in Linear Programming Problem (LPP), Also Write the Dual of the following Primal LP problem: Max Z = x1 + 2x2 + X3 Subject to 2x, + x2 - X, S2 -2x1 + x2 - 5x3 2 -6 4x1 + X2 + X3 S6 X1 , X2 , Xa 20
a. Write the algorithm for Simplex Method, Also Solve the following Linear Programming Problem (LPP) by using simplex Method: Max Z = 3x1 + 2x2 Subject to 4x, + 3x2 s 12 4x, + x2 5 8 4x, - x2 58 X , X2 20 b.Define Duality in Linear Programming Problem (LPP), Also Write the Dual of the following Primal LP problem: Max Z = x1 + 2x2 + X3 Subject to 2x, + x2 - X, S2 -2x1 + x2 - 5x3 2 -6 4x1 + X2 + X3 S6 X1 , X2 , Xa 20
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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a. Write the algorithm for Simplex Method , Also Solve the following Linear Programming
Problem (LPP) by using simplex Method:
Max Z = 3x1 + 2x2
Subject to 4x1 + 3x2 < 12
4x, +x2 5 8
4x, - x2 58
X1 ,x2 2 0
b.Define Duality in Linear Programming Problem (LPP), Also Write the Dual of the following
Primal LP problem:
Max Z = x1 + 2x2 + x3
Subject to 2x + x2 - x3 S2
-2x1 + x2 - 5x3 2 -6
4x1 + x2 + x3 S6
X1 ,X2 ,X3 20
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