| |
| |
1. |
What are the vertices of the triangle formed? |
| |
|
 |
| |
|
A. |
(100, 400), (400, 500), and (800, 100) |
| |
|
B. |
(100, 400), (500, 400), and (100, 800) |
| |
|
C. |
(100, 400), (500, 400), and (800, 100) |
| |
|
D. |
(100, 400), (400, 500), and (100, 800) |
| |
|
Hint |
|
| |
2. |
Use the function P(x, y) = 40x + 60y to determine how many of each item should be produced in order to maximize profit. |
| |
|
A. |
(100, 400) |
B. |
(300, 500) |
| |
|
C. |
(100, 800) |
D. |
(500, 400) |
| |
|
Hint |
|
| |
3. |
Find the maximum value of f(x, y) = 2x + y - 4 for the system of inequalities:
y  -3x + 1
y  x - 4
x  0
y 0 |
| |
|
A. |
2 |
B. |
alternate optimal solutions |
| |
|
C. |
unbounded |
D. |
infeasible |
| |
|
Hint |
|
| |
4. |
Find the maximum value of f(x, y) = 2x + y - 4 for the system of inequalities:
y -3x + 1
y x - 4
x 0
y 0 |
| |
|
A. |
infeasible |
B. |
2 |
| |
|
C. |
alternate optimal solutions |
D. |
unbounded |
| |
|
Hint |
|
| |
5. |
Sam has $10,000 to deposit in two different savings accounts. He wants at least $3,000 in the account that earns 3% interest. He wants no less than $5,000 in the account with 7% interest. Write a system of inequalities to represent this situation. |
| |
|
A. |
x 3000
y 5000
x + y 10,000 |
B. |
x 3000
y 5000
x + y 10,000 |
| |
|
C. |
x 3000
y 5000
x + y 10,000 |
D. |
x 5000
y 3000
x + y 10,000 |
| |
|
Hint |
|
|