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This quiz works through the utility maximization problem for Martina. Let's assume Martina's preferences are given...

This quiz works through the utility maximization problem for Martina. Let's assume Martina's preferences are given by U(X,Y) = X1/3Y2/3 and her income is equal to $500. Prices for goods X and Y are equal to PX = $4 and PY = $2.

A) What is the value of Martina's marginal rate of substitution (MRS) at (X, Y) = (2, 20)?

B) What is the |slope| of Martina's budget constraint? (Enter an integer)

C) If Martina purchased only good X, how much good X could she buy?
(Enter an integer)

D) What is the utility maximizing levels of X and Y that Martina will consumer?

X* =      and Y* =   
(You must enter numbers rounded exactly to *one* decimal point.)

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Answer #1

U(4,4) = x 34 Income = 500. 2 MRS. MUX x 3413 13 MRS 2,20) – 20-25 Stor of age content - Pepe 3 cs d) X-Me-S00125 At optimali

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