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Consider the following LP model and it is graphical solution to answer questions from a) to g). Maximize z= 4x;+5x2 Subject to: (1) 2x1+X;s12 .(2) X;+2x,s12.. -(3) X1, X220.. ..(4) 12 11 10 9 10 11 12 F, a) What is the optimal solution x1, X2 and z? b) Determine the optimality range of the objective function coefficient C. Determine the feasibility range of the right-hand side for constraint 1 2 and 3

Consider the following LP model and it is graphical solution to answer questions from a) to g). Maximize z= 4x;+5x2 Subject to: (1) 2x1+X;s12 .(2) X;+2x,s12.. -(3) X1, X220.. ..(4) 12 11 10 9 10 11 12 F, a) What is the optimal solution x1, X2 and z? b) Determine the optimality range of the objective function coefficient C. Determine the feasibility range of the right-hand side for constraint 1 2 and 3

Algebra for College Students
Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter12: Algebra Of Matrices
Section12.CR: Review Problem Set
Problem 37CR
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Consider the following LP model and it is graphical solution to answer questions from a) to g). Maximize z= 4x,+5x2 Subject to: X:5 .(1) 2x:+X;512 ..(2) X,+2x;s12 ..(3) X1, X220.. .(4) 12 11 10 D A *9 10 11 12 n a) What is the optimal solution x1, X2 and z? b) Determine the optimality range of the objective function coefficient c1. c) Determine the feasibility range of the right-hand side for constraint 1, 2 and 3. d) How many basic feasible solutions in this problem? e) Is there any binding constraint(s)? f) Dose any constraint has a slack? which one and by how much? g) Dose any constraint has a surplus? which one and by how much?
Transcribed Image Text:Consider the following LP model and it is graphical solution to answer questions from a) to g). Maximize z= 4x,+5x2 Subject to: X:5 .(1) 2x:+X;512 ..(2) X,+2x;s12 ..(3) X1, X220.. .(4) 12 11 10 D A *9 10 11 12 n a) What is the optimal solution x1, X2 and z? b) Determine the optimality range of the objective function coefficient c1. c) Determine the feasibility range of the right-hand side for constraint 1, 2 and 3. d) How many basic feasible solutions in this problem? e) Is there any binding constraint(s)? f) Dose any constraint has a slack? which one and by how much? g) Dose any constraint has a surplus? which one and by how much?
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