Cookie's & Company

MacKenzie Rieth, College Algebra 4/21/15

Business Overview

My business sells cookies and milk. Customers can choose from a wide variety of cookie and milk flavors. Customer favorites include Peanut Butter Blast cookies and chocolate milk.

Restrictions

I can spend $600 and make 450 cookies and 200 glasses of milk per month. Each cookie costs $1 and each glass of milk costs $.50 to make. I can sell one cookie for $3 and a glass of milk for $1.50.

Systems of Inequalities

x = # of cookies

y = # of glasses of milk

Profit Equation:

Sale

3x+1.5y=S

Cost

x+.5y=C

Profit

2x+y=P

Restrictions:

x≥0

x≤450

y≥0

y≤200

x+.5y≤600

Maximizing Profit

Profit:

2x+y=P

Vertices of Feasible Region:

1. (0, 200) 2. (450, 200) 3. (450, 0)

1. 2(0)+(200)=$200

2. 2(450)+(200)=$1,100

3. 2(450)+(0)=$900

Conclusion

To maximize profit I should make 450 cookies and 200 glasses of milk per month.

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