You are a bidder in an independent private values auction, and you value the object at $3,000. each bidder perceives that valuations are uniformly distributed between $1,000 and $8,000. determine your optimal bidding strategy in a first-price, sealed-bid auction when the total number of bidders (including you) is:

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Alinguist had a gross income of 53,350 last year. if 17.9% of his income got witheld for federal income tax, how much of the linguist's pay got witheld for federal income tax last year?

An increase in the market price of men's haircuts, from $16 per haircut to $26 per haircut, initially causes a local barbershop to have its employees work overtime to increase the number of daily haircuts provided from 20 to 25. when the $26 market price remains unchanged for several weeks and all other things remain equal as well, the barbershop hires additional employees and provides 40 haircuts per day. what is the short-run price elasticity of supply? nothing (your answer should have two decimal places.) what is the long-run price elasticity of supply? nothing (your answer should have two decimal places.)