1. Paul derives utility from cups of coffee (C) and donuts, which he eats a dozen at a time (D). His utility function is: U=√C.D a. Sketch Paul's indifference curves for U-5, U-10 and U=20. b. Suppose Paul has $200 to spend and that a cup of coffee costs $5 and a dozen donuts costs $20. Draw Paul's budget constraint on the same graph as his indifference curves. c. Suppose Paul spends all of his income on donuts. How many dozen can he buy and what is his utility?
1. Paul derives utility from cups of coffee (C) and donuts, which he eats a dozen at a time (D). His utility function is: U=√C.D a. Sketch Paul's indifference curves for U-5, U-10 and U=20. b. Suppose Paul has $200 to spend and that a cup of coffee costs $5 and a dozen donuts costs $20. Draw Paul's budget constraint on the same graph as his indifference curves. c. Suppose Paul spends all of his income on donuts. How many dozen can he buy and what is his utility?
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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
Transcribed Image Text:1. Paul derives utility from cups of coffee (C) and donuts, which he eats a dozen at a time
(D). His utility function is:
U = √C.D
a. Sketch Paul's indifference curves for U-5, U-10, and U=20.
b. Suppose Paul has $200 to spend and that a cup of coffee costs $5 and a dozen donuts
costs $20. Draw Paul's budget constraint on the same graph as his indifference curves.
c. Suppose Paul spends all of his income on donuts. How many dozen can he buy and what
is his utility?
d. Show that Paul's income will not permit him to reach the =20 indifference curve.
f.
e. If Paul buys five dozen donuts, how many cups of coffee can he buy? What is his utility?
Use a carefully drawn graph to show that the utility calculated in part e is the highest Paul
can achieve with his $200.
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