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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.

A4-year project has an annual operating cash flow of $59,000. at the beginning of the project, $5,000 in net working capital was required, which will be recovered at the end of the project. the firm also spent $23,900 on equipment to start the project. this equipment will have a book value of $5,260 at the end of the project, but can be sold for $6,120. the tax rate is 35 percent. what is the year 4 cash flow?

Afinancing project has an initial cash inflow of $42,000 and cash flows of −$15,600, −$22,200, and −$18,000 for years 1 to 3, respectively. the required rate of return is 13 percent. what is the internal rate of return? should the project be accepted?