The Pi (π) Club at Math High School was planning a fundraiser to sell pepperoni pizza. A pizza company donated enough ingredients to make the equivalent of 300 extra large pepperoni pizzas (16” diameter). In trying to determine the number of pizzas of each size to make, they surveyed students in the school. Based on the survey, the club decided that more than half of the pizzas they make should be extra large; there would be more large (14” diameter) than medium (12” diameter) and between 40 and 50 small (10” diameter). The club members plan to sell the pizzas for $11(small), $15 (medium), $18 (large), and $20 (extra-large).

Mission:

Design a plan for how many of each type of pizza you think the club should sell. Explain why your plan is a good one for the club to raise funds.