# The Bean

### Ellen Auduong 10/2/14

# Our Shop

At CafĂ© Corner we us 100% organic coffee beans from Brazil and brew the coffee right here, just for you. You can choose from many different flavors and styles. We serve regular sizes and large sizes.

### Restrictions-

I can't make more than 500 regular sized cups and 400 large sized cups in a day. I won't be able to spend more than $900 on coffee beans a month

### Cost & Prices-

It will cost me $1 an ounce for coffee beans. A regular sized coffee cup needs 2 ounces of beans and a large size needs 3 ounces.

It costs me $2 to make a regular size and I can sell it for $3.

It costs me $3 to make a large and I can sell it for $4,.50.

### Equations-

**x= # of Regular y= # of Large**

x< or = 500, x > or = 0

y< or = 400, y > or = 0

2x + 3y < or = 900

### Profit Plan-

Cost= $2x + $3y Sell= $3x + $4.50

Profit= $1x + $1.50y

# Graph

## Maximize Profits

**(0,200)** P= $1(0) + $1.50(200)= $300

**(150,200)** P= $1(150) + $1.50(200)= $450

**(250,133)** P= $1(250) + $1.50(133)= $449.5

**(250,0)** P= $1(250) + $1.50(0)= $250

**I will maximize my profits of each month if I produce 150 of the regular size and 200 of the large. **