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For each of the following two LP models, respond to the following questions using graphic tools and algebraic methods only: a) Identify the constraints that are binding and the ones that are not binding. b) Identify if any constraint is redundant (i.e., is not needed to delineate the feasibility region) c) Find the range of optimality of both of the objective function coefficients Model 1: Maximize f = 4x + 7y subject to the following constraints: x+2y≤7 5x+3y≤12 y≤3 x and y are non-negative

For each of the following two LP models, respond to the following questions using graphic tools and algebraic methods only: a) Identify the constraints that are binding and the ones that are not binding. b) Identify if any constraint is redundant (i.e., is not needed to delineate the feasibility region) c) Find the range of optimality of both of the objective function coefficients Model 1: Maximize f = 4x + 7y subject to the following constraints: x+2y≤7 5x+3y≤12 y≤3 x and y are non-negative

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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For each of the following two LP models, respond to the following questions using graphic tools and algebraic methods only: a) Identify the constraints that are binding and the ones that are not binding. b) Identify if any constraint is redundant (i.e., is not needed to delineate the feasibility region) c) Find the range of optimality of both of the objective function coefficients Model 1: Maximize f = 4x + 7y subject to the following constraints: x+2y≤7 5x+3y<12 y≤3 x and y are non-negative
Transcribed Image Text:For each of the following two LP models, respond to the following questions using graphic tools and algebraic methods only: a) Identify the constraints that are binding and the ones that are not binding. b) Identify if any constraint is redundant (i.e., is not needed to delineate the feasibility region) c) Find the range of optimality of both of the objective function coefficients Model 1: Maximize f = 4x + 7y subject to the following constraints: x+2y≤7 5x+3y<12 y≤3 x and y are non-negative
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