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Consider the following linear program. Max 3A + 4B -1A + 2B ≤9 1A + 2B ≤ 11 2A1B ≤18 A, B ≥ 0 (a) Write the problem in standard form. Max 3A + 4B + s.t. s.t. -1A + 2B + S3 1A + 2B A, B, S₁, S₂1 2A +1B = = 6 S3 = 0 0 0 $₁ 0 (b) Solve the problem using the graphical solution procedure. (A, B) = 1.5, 1.5 ) ₁₁ + ( [ X + (c) What are the values of the three slack variables at the optimal solution? S₁ X 0 S2 )5₂ + (0 + S3 = 9 = 11 = 18

Consider the following linear program. Max 3A + 4B -1A + 2B ≤9 1A + 2B ≤ 11 2A1B ≤18 A, B ≥ 0 (a) Write the problem in standard form. Max 3A + 4B + s.t. s.t. -1A + 2B + S3 1A + 2B A, B, S₁, S₂1 2A +1B = = 6 S3 = 0 0 0 $₁ 0 (b) Solve the problem using the graphical solution procedure. (A, B) = 1.5, 1.5 ) ₁₁ + ( [ X + (c) What are the values of the three slack variables at the optimal solution? S₁ X 0 S2 )5₂ + (0 + S3 = 9 = 11 = 18

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. (b) -1A + 2B ≤9 1A + 2B ≤11 2A + 1B ≤18 A, B≥ 0 (a) Write the problem in standard form. s.t. Max 3A + 4B + Max 3A + 4B s.t. 5 -1A + 2B + (A, B) = = A, B, S₁, S₂, S3 ≥ V = 1A + 2B 2A + 1B 0 S₁ 0 + Solve the problem using the graphical solution procedure. (1.5, 1.5 + ( 0 (c) What are the values of the three slack variables at the optimal solution? S₁ = 6 S₂ 0 S3 0 S2 )5₂ + ( + 0 $3 9 = 11 = 18
Transcribed Image Text:Consider the following linear program. (b) -1A + 2B ≤9 1A + 2B ≤11 2A + 1B ≤18 A, B≥ 0 (a) Write the problem in standard form. s.t. Max 3A + 4B + Max 3A + 4B s.t. 5 -1A + 2B + (A, B) = = A, B, S₁, S₂, S3 ≥ V = 1A + 2B 2A + 1B 0 S₁ 0 + Solve the problem using the graphical solution procedure. (1.5, 1.5 + ( 0 (c) What are the values of the three slack variables at the optimal solution? S₁ = 6 S₂ 0 S3 0 S2 )5₂ + ( + 0 $3 9 = 11 = 18
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