3. Suppose that there are two types of consumers: Type A and Type B. Type A has a demand function as follows: Qp = 100 - 2P Type B has a demand function as follows: Qp = 100 - 3P Assume the marginal cost is constant and equal to $15. Assume there is an equal number of Type A consumers and Type B consumers. Calculate the optimal price to be charged to Type A and Type B if the firm can price discriminate.