# Chapter 3 Section#2

**Qustion#2 **

Formulate but do not solve the following exercise as a linear programming problem.

A financier plans to invest up to $400,000 in two projects. Project *A* yields a return of 10% on the investment of *x* dollars, whereas Project *B* yields a return of 14% on the investment of *y* dollars. Because the investment in Project *B* is riskier than the investment in Project *A*, the financier has decided that the investment in Project *B* should not exceed 35% of the total investment. How much should she invest in each project to maximize the return on her investment *P* in dollars?

# Chapter 3 Section#3

Question#10

Find the maximum and/or minimum value(s) of the objective function on the feasible set *S*. (If an answer does not exist, enter DNE.)

*Z* = 4*x* ? *y*