# HOT! HOT! HOT!

### Vanessa Patterson

### Activity 1

Graph a system of inequalities

Inequalities

5x+4y<1050

4x+8y<1200

x>0

y>0

Amount of peppers left over: if you used (0,0) all of the peppers would be left over

### Activity 2

To maximize the profit there should be no peppers left over. I found that the point (200,0) would maximize the profit. You would have too sell 200 bottles of Red Hot Sauce to maximize the profit.

### Activity 3

Determining the selling price

The cost of producing one pint of Red Hot Sauce is $6.56, the price of producing one pint of Scotching Hot Sauce is $6.79. To maintain a profit of $1.20 on Red Hot Sauce you would have to sell one pint for $7.76. To maintain a profit of $1.00 on Scotching Hot Sauce you would have to sell one pint for $7.79