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2. Consider the following set of constraints: x, + 2x, + 2x, 2x, - x, + x, + 2x, 5 8 4x, - 2x, + x, - x, < 10 + + 4x < 40 4 4 X,,X, x x, > 0. Using the Simplex Method, solve the problem for each of the following objective functions. a. Maximize z = 3x, - x, + 3x, + 4x, b. Minimize z = 5x, – 4x, + 6x, – 8x,

2. Consider the following set of constraints: x, + 2x, + 2x, 2x, - x, + x, + 2x, 5 8 4x, - 2x, + x, - x, < 10 + + 4x < 40 4 4 X,,X, x x, > 0. Using the Simplex Method, solve the problem for each of the following objective functions. a. Maximize z = 3x, - x, + 3x, + 4x, b. Minimize z = 5x, – 4x, + 6x, – 8x,

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 set of constraints: X, + 2x, + 2x, + 4x, < 40 2x, - x, + x, + 2x, < 8 4x, – 2x, + x, – x,< 10 4. Using the Simplex Method, solve the problem for each of the following objective functions. а. Маximize z 3 Зх, — х, + 3x, + 4x, b. Minimize z %3D 5х, - 4х, + 6х, — 8х,
Transcribed Image Text:2. Consider the following set of constraints: X, + 2x, + 2x, + 4x, < 40 2x, - x, + x, + 2x, < 8 4x, – 2x, + x, – x,< 10 4. Using the Simplex Method, solve the problem for each of the following objective functions. а. Маximize z 3 Зх, — х, + 3x, + 4x, b. Minimize z %3D 5х, - 4х, + 6х, — 8х,
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