Doreen has preferences represented by the utility function U(x, y) = 10x + 5y. She consumes 10 units of good x and 12 units of good y. If her consumption of good x is lowered to 1, how many units of y must she have in order to be exactly as well off as before?

Suppose that xtel currently is selling at $40 per share. you buy 500 shares using $15,000 of your own money, borrowing the remainder of the purchase price from your broker. the rate on the margin loan is 8%. a. what is the percentage increase in the net worth of your brokerage account if the price of xtel immediately changes to (a) $44; (b) $40; (c) $36? (leave no cells blank - be certain to enter "0" wherever required. negative values should be indicated by a minus sign. round your answers to 2 decimal places.) b. if the maintenance margin is 25%, how low can xtel’s price fall before you get a margin call? (round your answer to 2 decimal places.) c. how would your answer to requirement 2 would change if you had financed the initial purchase with only $10,000 of your own money? (round your answer to 2 decimal places.) d. what is the rate of return on your margined position (assuming again that you invest $15,000 of your own money) if xtel is selling after one year at (a) $44; (b) $40; (c) $36? (negative values should be indicated by a minus sign. round your answers to 2 decimal places.) e. continue to assume that a year has passed. how low can xtel’s price fall before you get a margin call? (round your answer to 2 decimal places.)

The cook corporation has two divisions--east and west. the divisions have the following revenues and expenses: east west sales $ 603,000 $ 506,000 variable costs 231,000 300,000 traceable fixed costs 151,500 192,000 allocated common corporate costs 128,600 156,000 net operating income (loss) $ 91,900 $ (142,000 ) the management of cook is considering the elimination of the west division. if the west division were eliminated, its traceable fixed costs could be avoided. total common corporate costs would be unaffected by this decision. given these data, the elimination of the west division would result in an overall company net operating income (loss)

Andy purchases only two goods, apples (a) and kumquats (k). he has an income of $125 and can buy apples at $5 per pound and kumquats at $5 per pound. his utility function is u(a, k) = 6a + 2k. what is his marginal utility for apples and his marginal utility for kumquats? andy's marginal utility for apples (mu subscript a) is mu subscript aequals 6 and his marginal utility for kumquats (mu subscript k) is