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LoLo's Cupcakery

Lauren Ryan, Mrs.Langford's class, 3rd hour 10/3/13

My business produces all sorts of pies, cakes and pastries. We sell all kinds of flavors and frostings and toppings of cupcakes, which come in two sizes. regular and mini.

I can spend no more than 7500 dollars on the production of my cupcakes with my 10000 budget and I want to produce more mini cupcakes than regular cupcakes, but sell both.

Restrictions: Systems of Inequalities

x= regular cupcakes y=mini-cupcakes

x_>_0 y_>_0

y_<_(-2x)+40000

y_<_30000

x_<_15000

Costs and Prices:

It costs me 50 cents to make a regular sized cupcake and I can sell one for 3 dollars.

It costs me 25 dollars to make a mini-cupcake and I can sell one for 2 dollars.

Profits

My profit equals the amount I sell the total number of cupcakes for, minus the cost

Cost: =1/2x + 1/4y

Sell:=3x + 2y

Profit:= 5/2x + 7/4 y

In order to maximize my profits P= 5/2*(5000)+7/4*(30000)

= 65,000