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.)

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M. cotteleer electronics supplies microcomputer circuitry to a company that incorporates microprocessors into refrigerators and other home appliances. one of the components has an annual demand of 235 units, and this is constant throughout the year. carrying cost is estimated to be $1.25 per unit per year, and the ordering (setup) cost is $21 per order. a) to minimize cost, how many units should be ordered each time an order is placed? b) how many orders per year are needed with the optimal policy? c) what is the average inventory if costs are minimized? d) suppose that the ordering cost is not $21, and cotteleer has been ordering 125 units each time an order is placed. for this order policy (of q = 125) to be optimal, determine what the ordering cost would have to be.

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