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2. Consider the following linear programming problem: Maximize p 5x+ 10y subject to 3x-2y < 30 4.x +y 2 20 x+y < 10 x 2 0, y 20 (a) Construct the initial simplex tableau associated with the problem above. (b) Perform one iteration of the simplex method and write down the resulting simplex tableau. What is the feasible solution associated with this new tableau? Is it optimal? Justify your answer.

2. Consider the following linear programming problem: Maximize p 5x+ 10y subject to 3x-2y < 30 4.x +y 2 20 x+y < 10 x 2 0, y 20 (a) Construct the initial simplex tableau associated with the problem above. (b) Perform one iteration of the simplex method and write down the resulting simplex tableau. What is the feasible solution associated with this new tableau? Is it optimal? Justify your answer.

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. Consider the following linear programming problem: Maximize p = 5x + 10y subject to 3x -2y < 30 4.x +y 2 20 X + y < 10 x > 0, y 20 (a) Construct the initial simplex tableau associated with the problem above. (b) Perform one iteration of the simplex method and write down the resulting simplex tableau. What is the feasible solution associated with this new tableau? Is it optimal? Justify your answer.
Transcribed Image Text:2. Consider the following linear programming problem: Maximize p = 5x + 10y subject to 3x -2y < 30 4.x +y 2 20 X + y < 10 x > 0, y 20 (a) Construct the initial simplex tableau associated with the problem above. (b) Perform one iteration of the simplex method and write down the resulting simplex tableau. What is the feasible solution associated with this new tableau? Is it optimal? Justify your answer.
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