Granite State Airlines serves the route between New York and Portsmouth, NH, with a single-flight-daily 100-seat aircraft. The one-way fare for discount tickets is $100, and the one-way fare for full-fare tickets is $400. Discount tickets can be booked up until two weeksin advance, and all discount passengers book before all full-fare passengers. Over a long history of observation, the airline estimates that full-fare demand is normally distributed, with a mean of 56 passengers and a standard deviation of 23, while discount-fare demand is normally distributed, with a mean of 88 passengers and a standard deviation of 44. Required:
a. A consultant tells the airline they can maximize expected revenue by optimizing the booking limit. What is the optimal booking limit?
b. The airline has been setting a booking limit of 44 on discount demand, to preserve 56 seats for full-fare demand. What is their expected revenue per flight under this policy?
c. What is the expected gain from the optimal booking limit over the original booking limit?
d. A low-fare competitor enters the market and Granite State Airlines sees its discount demand drop to 44 passengers per flight, with a standard-deviation of 30. Full-fare demand is unchanged. What is the new optimal booking limit?

Consider each of the following cases: case accounting break-even unit price unit variable cost fixed costs depreciation 1 127,400 $ 38 $ 25 $ 711,000 ? 2 124,000 ? 41 2,500,000 $ 900,000 3 5,753 117 ? 171,000 100,000 required: (a) find the depreciation for case 1. (do not round your intermediate calculations.) (b) find the unit price for case 2. (do not round your intermediate calculations.) (c) find the unit variable cost for case 3. (do not round your intermediate calculations.)

5. profit maximization and shutting down in the short run suppose that the market for polos is a competitive market. the following graph shows the daily cost curves of a firm operating in this market. 0 2 4 6 8 10 12 14 16 18 20 50 45 40 35 30 25 20 15 10 5 0 price (dollars per polo) quantity (thousands of polos) mc atc avc for each price in the following table, calculate the firm's optimal quantity of units to produce, and determine the profit or loss if it produces at that quantity, using the data from the previous graph to identify its total variable cost. assume that if the firm is indifferent between producing and shutting down, it will produce. (hint: you can select the purple points [diamond symbols] on the previous graph to see precise information on average variable cost.) price quantity total revenue fixed cost variable cost profit (dollars per polo) (polos) (dollars) (dollars) (dollars) (dollars) 12.50 135,000 27.50 135,000 45.00 135,000 if the firm shuts down, it must incur its fixed costs (fc) in the short run. in this case, the firm's fixed cost is $135,000 per day. in other words, if it shuts down, the firm would suffer losses of $135,000 per day until its fixed costs end (such as the expiration of a building lease). this firm's shutdown price—that is, the price below which it is optimal for the firm to shut down—is per polo.

Andrea cujoli is a currency speculator who enjoys "betting" on changes in the foreign currency exchange market. currently the spot price for the japanese yen is ¥129.87/$ and the 6-month forward rate is ¥128.53/$. andrea would earn a higher rate of return by buying yen and a forward contract than if she had invested her money in 6-month us treasury securities at an annual rate of 2.50%. true/false?