2. 1. The price of the hat should be $6 if they want to make maximum profit. The profit would be $15,400

3. 2. The minimum price to make a profit needs to be above $2 since the profit for $2 is $0.

4. 3. P(0) is about −$19,250 which means if they charge $0 for the hats, they will lose money.

5. 4. To make $13,700 they can sell the hats for about $4. 50 or about $7

6. 5. For a profit, the domain is (2, 10) and the range would be (0, 15400]

7. 6. The profit increases when the price is less than $6
6. The profit increases when the price is less than $6. The profit decreases when the price is greater than $6

8. 7. The profit increases the fastest from 2 to 3 because that section of the graph is the steepest

9. 8. The best price is $6 per hat.
The profit decreases after $6 and if the hat is sold for more than $10, the owner will lose money.

10. Matching Graphs to Equations
On page 41, match each graph to the appropriate equation