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Define the marginal rate of substitution between two goods (x and y). if a consumer’s preferences are given by u(x, y) = x3/4y1/4, compute the consumer’s marginal rate of substitution as a function of x and y. calculate the mrs if the consumer has chosen to consumer 48 units of x and 16 units of y. show your work. (use the back of the page if necessary.

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?

Casey communications recently issued new common stock and used the proceeds to pay off some of its short-term notes payable. this action had no effect on the company's total assets or operating income. which of the following effects would occur as a result of this action? a. the company's current ratio increased. b. the company's times interest earned ratio decreased. c. the company's basic earning power ratio increased. d. the company's equity multiplier increased. e. the company's debt ratio increased.