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2.1) On the solution graph, use a dashed line to demonstrate how the optimal solution is to be found. 2.2) Identify or calculate the value of one or more optimal solutions (x¡ ,x¿) at the corner(s) of the feasible regio 2.3) Calculate the corresponding optimal objective function value Z(x¡ ,x2). 2.4) If you have found more than one corner optimal solution of this LP problem, indicate how many optim solutions it has and indicate where these optimal solutions can be found.

2.1) On the solution graph, use a dashed line to demonstrate how the optimal solution is to be found. 2.2) Identify or calculate the value of one or more optimal solutions (x¡ ,x¿) at the corner(s) of the feasible regio 2.3) Calculate the corresponding optimal objective function value Z(x¡ ,x2). 2.4) If you have found more than one corner optimal solution of this LP problem, indicate how many optim solutions it has and indicate where these optimal solutions can be found.

Practical Management Science
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter7: Nonlinear Optimization Models
Section: Chapter Questions
Problem 51P
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2) Solve the following LP problem. Note that in this LP problem, the constraint functions are the same as in 1) above and the objective function Z is different. Мaximize Z(x1, х2) %3D 4x1 + 2х2 Subject to 2х1 + х2 < 12 - x1+ x2 < 3 X1 2 0, x2 2 0 2.1) On the solution graph, use a dashed line to demonstrate how the optimal solution is to be found. 2.2) Identify or calculate the value of one or more optimal solutions (xỉ ,x²) at the corner(s) of the feasible region. 2.3) Calculate the corresponding optimal objective function value Z(xi , x2). 2.4) If you have found more than one corner optimal solution of this LP problem, indicate how many optimal solutions it has and indicate where these optimal solutions can be found.
Transcribed Image Text:2) Solve the following LP problem. Note that in this LP problem, the constraint functions are the same as in 1) above and the objective function Z is different. Мaximize Z(x1, х2) %3D 4x1 + 2х2 Subject to 2х1 + х2 < 12 - x1+ x2 < 3 X1 2 0, x2 2 0 2.1) On the solution graph, use a dashed line to demonstrate how the optimal solution is to be found. 2.2) Identify or calculate the value of one or more optimal solutions (xỉ ,x²) at the corner(s) of the feasible region. 2.3) Calculate the corresponding optimal objective function value Z(xi , x2). 2.4) If you have found more than one corner optimal solution of this LP problem, indicate how many optimal solutions it has and indicate where these optimal solutions can be found.
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