1. Potential customers arrive at a full-service, two-pump gas station according to a Poisson process with rate 20 cars per hour. However, customers will only enter the station for gas if there are less than three cars at the two pumps. Suppose the amount of time required to service a car is exponentially distributed with a mean of five minutes.

(a) What fraction of the attendant’s time will be spent servicing cars?
(b) What fraction of potential customers are lost?

Consider a two-firm industry. firm 1 (the incumbent) chooses a level of output q1. firm 2 (the potential entrant) observes q1 and then chooses its level of output q2. the demand for the product is p = 100 - q, where q is the total output sold by the two firms which equals q1 +q2. assume that the marginal cost of each firm is zero. a) find the subgame perfect equilibrium levels of q1 and q2 keeping in mind that firm 1 chooses q1 first and firm 2 observes q1 and chooses its q2. find the profits of the two firms-? 1 and ? 2- in the subgame perfect equilibrium. how do these numbers differ from the cournot equilibrium? b) for what level of q1 would firm 2 be deterred from entering? would a rational firm 1 have an incentive to choose this level of q1? which entry condition does this market have: blockaded, deterred, or accommodated? now suppose that firm 2 has to incur a fixed cost of entry, f > 0. c) for what values of f will entry be blockaded? d) find out the entry deterring level of q1, denoted by q1b, as a function of f. next, derive the expression for firm 1

Alandowner entered into a written agreement with a real estate broker whereby the broker would receive a commission of 10% of the sale price if he procured a "ready, willing, and able buyer" for the landowner's property and if the sale actually proceeded through closing. the broker found a buyer who agreed in writing to buy the property from the landowner for $100,000, the landowner's asking price. the buyer put up $6,000 as a down payment. the agreement between the landowner and the buyer contained a liquidated damages clause providing that, if the buyer defaulted by failing to tender the balance due of $94,000 at the closing date, damages would be 10% of the purchase price. the landowner included that clause because she was counting on using the proceeds of the sale for a business venture that would likely net her at least $10,000. the buyer became seriously ill and defaulted. when he recovered, he demanded that the landowner return his $6,000, and the landowner refused. the broker also demanded the $6,000 from the landowner and was refused. the broker and the buyer filed separate suits against the landowner, with the buyer pleading impossibility of performance. the two cases are consolidated into a single case. how should the court rule as to the disposition of the $6,000?

Harwood company uses a job-order costing system that applies overhead cost to jobs on the basis of machine-hours. the company's predetermined overhead rate of $2.50 per machine-hour was based on a cost formula that estimates $240,000 of total manufacturing overhead for an estimated activity level of 96,000 machine-hours. required: 1. assume that during the year the company works only 91,000 machine-hours and incurs the following costs in the manufacturing overhead and work in process accounts: compute the amount of overhead cost that would be applied to work in process for the year and make the entry in your t-accounts. 2a. compute the amount of underapplied or overapplied overhead for the year and show the balance in your manufacturing overhead t-account. 2b. prepare a journal entry to close the company's underapplied or overapplied overhead to cost of goods sold.