Molly Dymond and Kathleen Taylor are considering possibility of teaching swimming to kids throughout the summer. A local swim club opens its pool at noon each day, so it is available to rent throughout the morning. The cost of renting the pool throughout the 10-week period for which Molly and Kathleen would require it is $1,700. The pool would as well charge Molly and Kathleen an admission, towel service, and life guarding fee of $7 per pupil, and Molly and Kathleen estimate the additional $5 cost per student to hire many assistants. Molly and Kathleen plan to charge $75 per student for 10-week swimming class.

a. How many pupils do Molly and Kathleen require to enroll in their class to break even?

b. If Molly and Kathleen want to make the profit of $5,000 for summer, how many pupils do they require to enroll?

c. Molly and Kathleen estimate that they may not be capable to enroll more than 60 pupils. If they enroll this many pupils, how much would they require to charge per pupil in order to realize their profit goal of $5,000?