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# Bistro Italiano

### "The Best Restaurant in Town"By: Dana BartchAdv. Algebra II Hour 310/3/14

I am opening a quaint Italian restaurant that is debuting two new special entrées, full of exotic spices and flavors: Italian Stuffed Shells & Venetian Style Spaghetti.

# Restaurant Restrictions

I cannot spend more than \$7,500 on any one of my dishes, make over 250 dishes of the shells per month, make over 300 dishes of the spaghetti, or spend more than \$900 per month during my start-up phase.

x≥0, x≤250

y≥0, y≤300

9x+7y≤900

9x≤7500

7y≤7500

# Costs and Selling Prices

The cost to create Italian Stuffed Shells is \$9.00 and the cost to create Venetian Style Spaghetti is \$7.00.

I will be selling the Italian Stuffed Shells for \$13.00 and the Venetian Style Spaghetti for \$10.00 to make a profit.

# Profits

The profit I will make from my entrées will be determined by subtracting the cost of creating the dishes from the money I made by selling them.                                                                                                                    profit=(13x+10y)-(9x+7y)

x=# of Italian Stuffed Shell dishes sold; y=# of Venetian Style Spaghetti dishes sold

Cost = \$9x + \$7y

Sell= \$13 + \$10

Profit= sell-cost;  [profit=(13x+10y)-(9x+7y)]

# Maximize Profits

(0,0)   P=(13(0) + 10(0)) - 9(0) + 10(0); P=\$0

(100,0)   P= (13(100) + 10(0)) - 9(100) + 10(0) ; P=\$400

(0,128)   P= (13(0) + 10(128)) - 9(0) + 10(128); P=\$0

If I make 100 dishes of the Italian Stuffed Shells and 0 dishes of the Venetian Style Spaghetti, then I will make the most money.