# Frigid Warmth

### Gourmet Ice Cream and Tea

My business is Frigid Warmth and we make and sell gourmet ice cream and tea. We abide by our foundation of sticking to the impossible.

**Prices**

To make each cup of tea it will cost $0.50. To make each scoop of gourmet ice cream(2.5 ounces) it will cost $0.30. I will sell each cup of tea for $3.00 and each scoop of gourmet ice cream for $2.00.

**Restrictions**

I will not be able to make more than 900 cups of tea and no more than 1000 scoops of ice cream. I can not spend more than $850 a month. I can not spend more then $7500 on producing one product.

**Restriction Inequalities**

x=# of cups of tea y= # of scoops of gourmet ice cream

x≥0 x≤900

y≥0 y≤1000

0.50x + 0.30y ≤ 850

0.50x≤7500

0.30y≤7500

**Cost and Sell Inequalities**

Cost= 0.50x + 0.30y

Sell= 3x + 2y

Profit= sell-cost

Profit= (3x-.50x)+(2y-0.30y)

Profit= 3x+1.70y

**Maximize My Profits**

(0,1000) P= 3(0)+1.70(1000); P=1700

(900,1000) P=3(900)+1.70(1000); P=4400

(900,0) P=3(900)+1.70(0); P=2700

I will maximize my profits by selling 900 cups of tea and 1000 scoops of gourmet ice cream.