Jerry has a total of I dollars per year to spend on apples (x) and Polo-shirts (y). His preferences are represented by the utility function U(x,y) = x¹y. a. Write down Jerry's marginal utility of apples and Polo-shirts. b. What are Jerry's demand functions x*(Px, Py, I) and y*(Px, Py, I)? c. What is Jerry's optimal yearly consumption of apples and Polo-shirts if I = $1200, Px = $4, and Py = $24? Sketch an indifference curve-budget line diagram and show the optimal bundle graphically.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
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Jerry has a total of I dollars per year to spend on apples (x) and Polo-shirts (y). His preferences are
represented by the utility function U(x,y) = x¹y.
a. Write down Jerry's marginal utility of apples and Polo-shirts.
b. What are Jerry's demand functions x*(Px, Py, I) and y*(Px, Py, I)?
c. What is Jerry's optimal yearly consumption of apples and Polo-shirts if I = $1200, Px = $4,
and Py = $24? Sketch an indifference curve-budget line diagram and show the optimal bundle
graphically.
Transcribed Image Text:Jerry has a total of I dollars per year to spend on apples (x) and Polo-shirts (y). His preferences are represented by the utility function U(x,y) = x¹y. a. Write down Jerry's marginal utility of apples and Polo-shirts. b. What are Jerry's demand functions x*(Px, Py, I) and y*(Px, Py, I)? c. What is Jerry's optimal yearly consumption of apples and Polo-shirts if I = $1200, Px = $4, and Py = $24? Sketch an indifference curve-budget line diagram and show the optimal bundle graphically.
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