A firm has estimated that the demand for its product comes from two types of customers, I and II. Each type I customer (there are 45 of them) has a demand curve given by Q = 20 P , while each type II customer (there are 50 of them) has a demand curve given by Q = 15 P . The firm's marginal cost is constant and equal to $5. Suppose the firm wants to use a two-part pricing strategy (T,P), and it has decided to set P = $5 (we know this need not be optimal, but this is what the firm has decided to set). With P = $5, the profit-maximizing T is?

*Please use two-part pricing strategy to show breakdown to answer:

The answer is $112.5. I would like to see the steps in obtaining that answer.

Thank you.