Consider a road which is represented by the interval [0,1].letabe anumber such that 0< a < 1.vendor 1 can locate at any point on the interval[0, a] (that is, he can locate at any pointxsuch that 0≤x≤a).vendor 2 canlocate at any point on the interval [a,1].a unit mass of onsumers are uniformlydistributed on [0,1] and each consumer buys one unit of the good from thevendor who is closest to him. if the two vendors locate at the same pointa, then each gets one-half of the consumers. the game is as follows. vendors choose locations simultaneously, and avendor’s payoff is given by the number of consumers who purchase from him. a) write down the strategy sets and payoff functions in this game. b) supposea= 0.5.show that this game has a unique nash equilibrium inpure strategies. that is, you need to show (i) there is a nash equilibrium, and(ii) there is no other nash equilibrium.

The lee family is looking to buy a house in one of two suburban areas just outside of a major city, and air quality is a top priority for them. overall air quality is calculated by taking measures in 100 locations within each suburb and then calculating a measure of central tendency. in one suburb, there is a major bus station that creates very poor air quality at its location but has no impact in the surrounding parts of the suburb. in this situation, which measure of overall suburb air quality would be most useful?

Kiona co. set up a petty cash fund for payments of small amounts. the following transactions involving the petty cash fund occurred in may (the last month of the company's fiscal year). may 1 prepared a company check for $350 to establish the petty cash fund. 15 prepared a company check to replenish the fund for the following expenditures made since may 1. a. paid $109.20 for janitorial services. b. paid $89.15 for miscellaneous expenses. c. paid postage expenses of $60.90. d. paid $80.01 to the county gazette (the local newspaper) for an advertisement. e. counted $26.84 remaining in the petty cashbox. 16 prepared a company check for $200 to increase the fund to $550. 31 the petty cashier reports that $380.27 cash remains in the fund. a company check is drawn to replenish the fund for the following expenditures made since may 15. f. paid postage expenses of $59.10. g. reimbursed the office manager for business mileage, $47.05. h. paid $48.58 to deliver merchandise to a customer, terms fob destination. 31 the company decides that the may 16 increase in the fund was too large. it reduces the fund by $50, leaving a total of $500.

The smelting department of kiner company has the following production and cost data for november. production: beginning work in process 3,700 units that are 100% complete as to materials and 23% complete as to conversion costs; units transferred out 10,500 units; and ending work in process 8,100 units that are 100% complete as to materials and 41% complete as to conversion costs. compute the equivalent units of production for (a) materials and (b) conversion costs for the month of november. materials conversion costs total equivalent units