Molly Dymond and Kathleen Taylor are considering the possibility of teaching swimming to kids during the summer. A local swim club opens its pool at noon each day, so it is available to rent during the morning. The cost of renting the pool during the 10-week period for which Molly and Kathleen would need it is $1,700. The pool would also charge Molly and Kathleen an admission, towel service, and life guarding fee of $7 per pupil, and Molly and Kathleen estimate an additional $5 cost per student to hire several assistants. Molly and Kathleen plan to charge $75 per student for the 10-week swimming class.
a. How many people do Molly and Kathleen need to enroll in their class to break even?
b. If Molly and Kathleen want to make a profit of $5,000 for the summer, how many pupils do they need to enroll?
c. Molly and Kathleen estimate that they might not be able to enroll more than 60 people. If they enroll this many pupils, how much would they need to charge per pupil in order to realize their profit goal of $5,000?