\f5. (POINTS: 15) Consider a monopolist that can price discriminate between two groups. The inverse demand function for group 1 is P(Q1) = 210-Q1 and the inverse demand function for group 2 is P2(02) = 410-202 Let Pi, Q, and P2, Oz represent price and quantity for groups 1 and 2, respectively. O is the sum of everything the monopolist produces, that is, Q = Q1 + 02. The cost function for the monopolist is c(Q) = 07 + 100 + 100 (a) (Points: 3) Setup the profit maximization problem for the price discriminating monop- olist. Answer: (b) (Points: 7) Solve the profit maximization problem for the partial equilibrium quantities and prices