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2) Solve the following linear programming problems by the simplex method. Hint: Find the pivot element. (3x1 + x2 < 60 a) Maximize: P = x1 + 2x2; Subject to {x1 + 2x2 < 50 (x, > 0, x2 > 0 (2x1 +5x2 < 200 b) Maximize: P = 50x, + 60x2; Subject to 2x1 + 2x2 < 100 X1 2 0, x2 > 0

2) Solve the following linear programming problems by the simplex method. Hint: Find the pivot element. (3x1 + x2 < 60 a) Maximize: P = x1 + 2x2; Subject to {x1 + 2x2 < 50 (x, > 0, x2 > 0 (2x1 +5x2 < 200 b) Maximize: P = 50x, + 60x2; Subject to 2x1 + 2x2 < 100 X1 2 0, x2 > 0

Advanced Engineering Mathematics
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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2) Solve the following linear programming problems by the simplex method. Hint: Find the pivot element. (3x1 + x2 < 60 a) Maximize:P = x1 + 2x2; Subject to {x1 + 2x2 < 50 (x, > 0, x2 > 0 (2x1+5x2 < 200 b) Maximize: P = 50x1 + 60x2; Subject to {2x1 + 2x2 < 100 x1 2 0, x2 > 0
Transcribed Image Text:2) Solve the following linear programming problems by the simplex method. Hint: Find the pivot element. (3x1 + x2 < 60 a) Maximize:P = x1 + 2x2; Subject to {x1 + 2x2 < 50 (x, > 0, x2 > 0 (2x1+5x2 < 200 b) Maximize: P = 50x1 + 60x2; Subject to {2x1 + 2x2 < 100 x1 2 0, x2 > 0
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