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# 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.