Solve the LP problem. If no optimal solution exists, indicate whether the feasible region is empty or the objective function is unbounded. (Enter EMPTY if the region is empty. Enter UNBOUNDED if the function isunbounded.)Maximize and minimize2x - y subject tox + y> 3x - y<3x - y2-3x < 5, y < 5.Minimum:p =(х, у)Maximum:p =(х, у)

Answered: hize and minimize p = 2x – y subject to…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

Solve the LP problem. If no optimal solution exists, indicate whether the feasible region is empty or the objective function is unbounded. (Enter EMPTY if the region is empty. Enter UNBOUNDED if the function is
unbounded.)
Maximize and minimize
2x - y subject to
x + y> 3
x - y<3
x - y2-3
x < 5, y < 5.
Minimum:
p =
(х, у)
Maximum:
p =
(х, у)

Expert Solution

Step 1

In this question, the concept of Linear Programming is applied.

Linear Programming

An approach to optimizing operations with restrictions is called linear programming. Linear programming's basic goal is to maximize or minimize numerical values. It is made up of linear functions that are constrained by inequalities or equations. Linear programming is a useful technique for determining the most efficient use of resources. Linear programming is a term made up of two words: linear and programming. The term "linear" refers to a one-dimensional relationship between two or more variables. The term "programming" refers to the process of choosing the optimal answer out of a number of options.