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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.

In each of the following, what happens to the unemployment rate? does the unemployment rate give an accurate impression of what’s happening in the labor market? a.esther lost her job and begins looking for a new one.b.sam, a steelworker who has been out of work since his mill closed last year, becomes discouraged and gives up looking for work.c.dan, the sole earner in his family of 5, just lost his $90,000 job as a research scientist. immediately, he takes a part-time job at starbucks until he can find another job in his field.

Beagle autos is known for its affordable and reliable brand of consumer vehicles. because its shareholders expect to see an improved rate of growth in the coming years, beagle's executives have decided to diversify the company's range of products so that at least 40 percent of the firm's revenue is generated by new business units. however, the company's resources, capabilities, and competencies are limited to producing other forms of motorized vehicles, such as motorcycles and all-terrain vehicles (atvs). which type of corporate diversification strategy should beagle pursue?