A privately owned summer camp for youngsters has the following data for a 12-week session: Charge per camper $480 per weekFixed costs $192,000 per sessionVariable cost per camper $320 per weekCapacity 200 campers (a) Develop the mathematical relationships for total cost and total revenue.(b) What is the total number of campers that will allow the camp to just break even?(c) What is the profit or loss for the 12-week session if the camp operates at 80% capacity?(d) What are marginal and average costs per camper at 80% capacity? (e) Would it be ethical to charge campers different rates depending on their family's socioeconomic status? Identify and describe two points pro and two points con for such a policy.