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
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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