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

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.8: Linear Programming
Problem 40E
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Please use graphic tools and algebra method to answer this question 

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 2
Maximize f = 7x + 5y subject to the following constraints:
3x + 4y < 24
2x + 1y ≤
x ≥ 1
y ≤ 5
10
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 2 Maximize f = 7x + 5y subject to the following constraints: 3x + 4y < 24 2x + 1y ≤ x ≥ 1 y ≤ 5 10 x and y are non-negative
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