Jane has utility function � �, � = �E�W. The price of x is �., the price of y is �0, and Jane’s income is W. What is the expression of her consumption of x as a function of prices and income (her optimal consumption is determined by the tangency rule)?

Over the past decade, brands that were once available only to the wealthy have created more affordable product extensions, giving a far broader range of consumers a taste of the good life. jaguar, for instance, launched its x-type sedan, which starts at $30,000 and is meant for the "almost rich" consumer who aspires to live in luxury. by marketing to people who desire a luxurious lifestyle, jaguar is using:

M. cotteleer electronics supplies microcomputer circuitry to a company that incorporates microprocessors into refrigerators and other home appliances. one of the components has an annual demand of 235 units, and this is constant throughout the year. carrying cost is estimated to be $1.25 per unit per year, and the ordering (setup) cost is $21 per order. a) to minimize cost, how many units should be ordered each time an order is placed? b) how many orders per year are needed with the optimal policy? c) what is the average inventory if costs are minimized? d) suppose that the ordering cost is not $21, and cotteleer has been ordering 125 units each time an order is placed. for this order policy (of q = 125) to be optimal, determine what the ordering cost would have to be.

Rosie and her brother michael decided recently to purchase an rv together. they both want to use the rv to take their families camping. the price of the rv was $10,000. since michael expects to use the rv 60% of the time and rosie 40% of the time, michael contributed $6,000 and rosie contributed $4,000. their ownership percentage equals their contribution percentage. which type of property titling should they use to reflect their ownership interest?