SOLUTION: I am having problems with these homework problems. please tell me if theyre correct: 1.Suppose we are to maximize the objective function 2x+3y over the feasible set with vertices

Question 411205: I am having problems with these homework problems. please tell me if theyre correct:
1.Suppose we are to maximize the objective function 2x+3y over the feasible set with vertices A(0, 0), B(2, 5), C(7, 3), and D(8, 1). The vertex that maximizes the objective function is ___?
I said c. 2(7)+3(3)= 23
2. An investor has at most $100,000 to invest in government bonds, mutual funds, and money market funds. The average yields for government bonds, mutual funds, and money market funds are 8%, 13%, and 15%, respectively. The investor�s policy requires that the total amount invested in mutual and money market funds not exceed the amount invested in government bonds. How much should be invested in each type of investment in order to maximize the return?
Let x = amount invested in government bonds, y = amount invested in mutual funds, and z = amount invested in money market funds. Which of the following systems is the correct setup of this linear programming problem?
I said 0.08x+0.13y+0.15z
x > or equal to y+z
x, y, z > or equal to 0

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
1.Suppose we are to maximize the objective function 2x+3y over the feasible set with vertices A(0, 0), B(2, 5), C(7, 3), and D(8, 1). The vertex that maximizes the objective function is ___?
I said c. 2(7)+3(3)= 23
---
That's good
====================================
2. An investor has at most $100,000 to invest in government bonds, mutual funds, and money market funds.
---
x + y + z = 100,000
---
The average yields for government bonds, mutual funds, and money market funds are 8%, 13%, and 15%, respectively.
---
The investor�s policy requires that the total amount invested in mutual and money market funds not exceed the amount invested in government bonds.
y+z <= x
---
How much should be invested in each type of investment in order to maximize the return?
Let x = amount invested in government bonds, y = amount invested in mutual funds, and z = amount invested in money market funds. Which of the following systems is the correct setup of this linear programming problem?
---
You chose an expression that is not an equation.
You did not post the optional "correct" answers.
----
Cheers,
Stan H.
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I said 0.08x+0.13y+0.15z
x > or equal to y+z
x, y, z > or equal to 0

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