Write a linear programming model, including the objective function and the set of constraints for the following problem. DO NOT SOLVE, but be sure to define all your variables.
Brown Bros., Inc., is an investment company doing an analysis of the pension fund for a certain company. The fund has a maximum of $10 million to invest in two places: no more than $8 million in stocks yielding 12%, and at least $2 million in long-term bonds yielding 9%. The stock-to-bond investment ratio cannot be more than 2 to 1. How should Brown Bros. advise its client so that the investments yield the maximum yearly return?

DENOTE:

X = amount invested in stock (in millions of dollars)
Y = amount invested in bonds (in millions of dollars)

A)
B)
C)
D)
E)

Question

Write a linear programming model, including the objective function and the set of constraints for the following problem. DO NOT SOLVE, but be sure to define all your variables. ​
Brown Bros., Inc., is an investment company doing an analysis of the pension fund for a certain company. The fund has a maximum of $10 million to invest in two places: no more than $8 million in stocks yielding 12%, and at least $2 million in long-term bonds yielding 9%. The stock-to-bond investment ratio cannot be more than 2 to 1. How should Brown Bros. advise its client so that the investments yield the maximum yearly return?
​
DENOTE:
​
X = amount invested in stock (in millions of dollars)
Y = amount invested in bonds (in millions of dollars)
​
A) ​ 
B) ​ 
C) ​ 
D) ​ 
E) ​

Quizplus · Accepted Answer

The Answer of Write a linear programming model, including the objective function and the set of constraints for the following problem. DO NOT SOLVE, but be sure to define all your variables. ​
Brown Bros., Inc., is an investment company doing an analysis of the pension fund for a certain company. The fund has a maximum of $10 million to invest in two places: no more than $8 million in stocks yielding 12%, and at least $2 million in long-term bonds yielding 9%. The stock-to-bond investment ratio cannot be more than 2 to 1. How should Brown Bros. advise its client so that the investments yield the maximum yearly return?
​
DENOTE:
​
X = amount invested in stock (in millions of dollars)
Y = amount invested in bonds (in millions of dollars)
​
A) ​ 
B) ​ 
C) ​ 
D) ​ 
E) ​

Write a Linear Programming Model, Including the Objective Function and the Set