I choose “Lolly Pops!” as my project title. My problem is: Jane is making lollypops to raise money for her students. She needs at most $20 to split it evenly and fairly between her students. She will make chocolate and vanilla lollypops. Chocolate lollypops are $2.50 and vanillas are $5. It cost her $3 to make chocolate and $2 to make vanilla. She can’t spend up to $12. Next, I write my constraints, which is:

1. X is greater than or equal to 0

2. Y is greater than or equal to 0

3. 2.5x+5y is less than or equal to 20

4. 3x+2y is less than or equal to 12

After I write out my

**constraints**, I graph each of them separately. Then, I combine all the graphs into one graph and there is my**feasible region**. Lastly, I would find the**vertices**of quadrilateral that is created by the feasible regions, which is : (0,0), (4,0), (2,3), and(0,4).
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