Suppose an ocean-front hotel rents rooms. In the winter, demand is: P_1 = 80 - 2Q_1 with marginal revenue of: MR_1 = 80-4Q_1. However, in the summer, demand is: P_2 = 140 - 2Q_2 with marginal revenue of: MR_2 = 140-4Q_2. Furthermore, suppose the hotel's marginal cost of providing rooms is MC = 20 + 2Q, which is increasing in Q due to capacity constraints. Suppose the hotel engages in peak-load pricing. During the winter, the profit-maximizing price is S and the profit-maximizing quantity is rooms. (Enter numeric responses rounded to two decimal places.)