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Max 3A + 4B s.t. -1A+2859 1A + 2B ≤14 2A + 18 ≤17 A, B 20

Max 3A + 4B s.t. -1A+2859 1A + 2B ≤14 2A + 18 ≤17 A, B 20

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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Consider the following linear program and answer the following questions. Max 3A + 4B -1A + 2B ≤9 1A + 2B ≤14 2A + 18 ≤17 A, B 20 (a) Write the problem in standard form. s.t. Max 3A + 4B + 0 s.t. -1A + 2B + 1 S₁ 11 1A + 2B 2A + 18 ],)₁₁. 0 + 0 + A, B, S₁, S₂ S3 2 (b) Solve the problem using the graphical solution procedure. (A, B) = 15₂ ]]s₂ 5₂ + ( [0 (c) What are the values of the three slack variables at the optimal solution? S₁ = 5₂ 53 + 15.3 (53 = 9 = 14 = 17
Transcribed Image Text:Consider the following linear program and answer the following questions. Max 3A + 4B -1A + 2B ≤9 1A + 2B ≤14 2A + 18 ≤17 A, B 20 (a) Write the problem in standard form. s.t. Max 3A + 4B + 0 s.t. -1A + 2B + 1 S₁ 11 1A + 2B 2A + 18 ],)₁₁. 0 + 0 + A, B, S₁, S₂ S3 2 (b) Solve the problem using the graphical solution procedure. (A, B) = 15₂ ]]s₂ 5₂ + ( [0 (c) What are the values of the three slack variables at the optimal solution? S₁ = 5₂ 53 + 15.3 (53 = 9 = 14 = 17
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