The marginal utility of the last unit of apples consumed is 12, and the marginal utility of the last unit of bananas consumed is 8. what set of prices for apples and bananas, respectively, would be consistent with consumer equilibrium?

Alpine west, inc., operates a downhill ski area near lake tahoe, california. an all-day, adult ticket can be purchased for $55. adult customers also can purchase a season pass that entitles the pass holder to ski any day during the season, which typically runs from december 1 through april 30. the season pass is nontransferable, and the $450 price is nonrefundable. alpine expects its season pass holders to use their passes equally throughout the season. the company’s fiscal year ends on december 31. on november 6, 2009, jake lawson purchased a season ticket. required: 1. when should alpine west recognize revenue from the sale of its season passes? 2. prepare the appropriate journal entries that alpine would record on november 6 and december 31. 3. what will be included in the 2009 income statement and 2009 balance sheet related to the sale of the season pass to jake lawson?

Sean lives in dallas and runs a business that sells boats. in an average year, he receives $722,000 from selling boats. of this sales revenue, he must pay the manufacturer a wholesale cost of $422,000; he also pays wages and utility bills totaling $268,000. he owns his showroom; if he chooses to rent it out, he will receive $2,000 in rent per year. assume that the value of this showroom does not depreciate over the year. also, if sean does not operate this boat business, he can work as a paralegal, receive an annual salary of $21,000 with no additional monetary costs, and rent out his showroom at the $2,000 per year rate. no other costs are incurred in running this boat business. identify each of sean's costs in the following table as either an implicit cost or an explicit cost of selling boats. implicit costexplicit costthe wages and utility bills that sean pays the rental income sean could receive if he chose to rent out his showroom the salary sean could earn if he worked as a paralegal the wholesale cost for the boats that sean pays the

Some years ago it was estimated that the demand for steel approximately satisfied the equation p=194-25x x, and the total cost of producing x units of steel was upper c left parenthesis x right parenthesis equals 145 plus 40 x. (the quantity x was measured in millions of tons and the price and total cost were measured in millions of dollars.) determine the level of production and the corresponding price that maximize the profits.