Aunt Jane's Fitness Center is planning to utilize price discrimination to set its family and corporate rates. For a family membership, it's estimated demand curve is Qf = 984 - 20Pf For the corporate market its estimated demand curve is Qc = 2,070 - 50Pc In both equations, Q represents the quantity of members and P represents the monthly membership fee. The center's weekly total cost is TC = 12,000 + 10Q, where Q is total number of members (Qf + Qc)
a. With price discrimination, how many memberships will be sold in each market?
b. What price will Aunt Jane's charge in each market?
c. What will be the center's monthly profit?