Recognizing that there are those among us who have conditions that limit movement and exercise in many of the other Fitness Program classes, the Therapeutic Water Exer- cise class offers a non-threatening environment and program to meet special individual needs. Those kids rehabilitating from injury or some surgeries find the recovery aspect of water exercise to be extremely beneficial. Gao Oleksandr and Stephanie Wenyao are considering the possibility of teaching Therapeutic Rehabilitating Swimming (TRS) 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 fixed cost of renting the pool during the whole summer period for which Go and Stephanie would need it is $3,000. The variable cost associated with admission fees, towel service, life guarding fee and hiring of several assistants is estimated to be at a modest price of $18 per pupil. Gao and Stephanie plan to charge $80 per student for the whole summer period Therapeutic Rehabilitating Swimming (TRS) class. (a) How many pupils do Gao and Stephanie need to enroll in their class to break even

(b) If Gao and Stephanie want to make a profit of $7,000 for the summer, how many pupils do they need to enroll.

(c) Gao and Stephanie estimate that they might not be able to enroll more than 200 pupils. If they enroll this many pupils, how much would they need to charge per pupil in order to realize their profit goal of $12,000. ( (Note that part a, b and c are independent of each other