A rational consumer has a utility function that follows all of the characteristics explained in class and  can choose to buy either “medical care” or sushi. S/he is constrained by a weekly budget 400. Medical  care costs $20 per unit and sushi $6. Graphically and verbally detail the following using proper terms,  labels, and vocabulary. Utility Function=6x^1/3y^2/3 a. Draw this consumer’s utility function and budget constraint. Indicate the optimal bundle & briefly  explain why. b. Consumer’s income decreases to $280 per week. c. A moderate increase in the price of medical care of $5. Does the optimal ratio change from the effects of part c & why.

Economics:
10th Edition
ISBN:9781285859460
Author:BOYES, William
Publisher:BOYES, William
Chapter21: Demand: Consumer Choic
Section: Chapter Questions
Problem 16E
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1) A rational consumer has a utility function that follows all of the characteristics explained in class and 
can choose to buy either “medical care” or sushi. S/he is constrained by a weekly budget 400. Medical 
care costs $20 per unit and sushi $6. Graphically and verbally detail the following using proper terms, 
labels, and vocabulary. Utility Function=6x^1/3y^2/3
a. Draw this consumer’s utility function and budget constraint. Indicate the optimal bundle & briefly 
explain why.
b. Consumer’s income decreases to $280 per week.
c. A moderate increase in the price of medical care of $5.
Does the optimal ratio change from the effects of part c & why.

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