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.)