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5.2-1. Consider the following problem. Maximize subject to x₂ + 2x₂ + 3x₂ + 3x₂ Z=8x₁ +4x₂+ 6 x3 + 3x4 + 9 x5, ≤180 4x₂+3x₂+2x3 + x₂ + x5 ≤ 270 x₁ + 3x₂ + x + 3x5 ≤ 180 and x20, j=1,...,5. You are given the facts that the basic variables in the optimal solution are x3, x₁, and x5 and that [310-1 241 013 11 -3 (resource 1) (resource 2) (resource 3) 9-3 2-3 10 (a)Use the given information to identify the optimal solution of each variable. (b)Use the given information to identify the optimal objective function.

5.2-1. Consider the following problem. Maximize subject to x₂ + 2x₂ + 3x₂ + 3x₂ Z=8x₁ +4x₂+ 6 x3 + 3x4 + 9 x5, ≤180 4x₂+3x₂+2x3 + x₂ + x5 ≤ 270 x₁ + 3x₂ + x + 3x5 ≤ 180 and x20, j=1,...,5. You are given the facts that the basic variables in the optimal solution are x3, x₁, and x5 and that [310-1 241 013 11 -3 (resource 1) (resource 2) (resource 3) 9-3 2-3 10 (a)Use the given information to identify the optimal solution of each variable. (b)Use the given information to identify the optimal objective function.

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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5.2-1. Consider the following problem. Maximize Z=8x₁ +4x₂+6x3 + 3x4 +9 x5, subject to x₁ + 2x₂ + 3x₂ + 3x₂ ≤180 4x₁+3x₂+2x3 + x4 + x5 ≤ 270 x1 + 3x2 + x4 + 3x5 ≤ 180 and x₁20, j=1,...,5. You are given the facts that the basic variables in the optimal solution are x3, x₁, and x5 and that [31 01-1 241 13 11 -3 -6 2 (resource 1) (resource 2) (resource 3) 9-3 (a)Use the given information to identify the optimal solution of each variable. (b)Use the given information to identify the optimal objective function.
Transcribed Image Text:5.2-1. Consider the following problem. Maximize Z=8x₁ +4x₂+6x3 + 3x4 +9 x5, subject to x₁ + 2x₂ + 3x₂ + 3x₂ ≤180 4x₁+3x₂+2x3 + x4 + x5 ≤ 270 x1 + 3x2 + x4 + 3x5 ≤ 180 and x₁20, j=1,...,5. You are given the facts that the basic variables in the optimal solution are x3, x₁, and x5 and that [31 01-1 241 13 11 -3 -6 2 (resource 1) (resource 2) (resource 3) 9-3 (a)Use the given information to identify the optimal solution of each variable. (b)Use the given information to identify the optimal objective function.
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