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

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

Practical Management Science
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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Consider the following linear program and answer the following questions. -1A + 2B ≤9 1A + 2B ≤11 2A + 1B ≤ 17 A, B ≥ 0 (a) Write the problem in standard form. s.t. Max 3A + 4B + Max 3A + 4B s.t. = = -1A + 2B + A, B, S₁, S₂, S3? 0 = 1A + 2B 2A +1B (b) Solve the problem using the graphical solution procedure. (A, B) = )5₁ + + (c) What are the values of the three slack variables at the optimal solution? S₁ S₂ S3 + = 9 = 11 = 17
Transcribed Image Text:Consider the following linear program and answer the following questions. -1A + 2B ≤9 1A + 2B ≤11 2A + 1B ≤ 17 A, B ≥ 0 (a) Write the problem in standard form. s.t. Max 3A + 4B + Max 3A + 4B s.t. = = -1A + 2B + A, B, S₁, S₂, S3? 0 = 1A + 2B 2A +1B (b) Solve the problem using the graphical solution procedure. (A, B) = )5₁ + + (c) What are the values of the three slack variables at the optimal solution? S₁ S₂ S3 + = 9 = 11 = 17
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