# linear programming problem

11. Consider the following linear programming problem

Max 8X + 7Y

s.t. 15X + 5Y ï?£ 75

10X + 6Y ï?£ 60

X + Y ï?£ 8

X, Y ï?³ 0

a. Use a graph to show each constraint and the feasible region.

b. Identify the optimal solution point on your graph. What are the values of X and Y at the optimal solution?

c. What is the optimal value of the objective function?

https://brainmass.com/math/linear-programming/linear-programming-problem-345981

#### Solution Summary

A linear programming problem is resolved.

Media-selection problem as a linear-programming problem

See attached file for full problem details.

PART A:

The first step in media selection is to formulate the media-selection problem as a linear-programming problem. The decision variables are the number of inserts in each of the media outlets, and the objective function is to maximize the number of customers reached. The constraints and objective functions are to be entered in Excel so that the problem can be solved using Excel QM

PART B:

In this project, investment portfolio analysis is modelled as a linear-programming problem in which the decision variables are associated with the amount of money invested in each investment option. The objective function is to maximize the return from all the investments combined.