Microeconomics (2nd Edition) (Pearson Series in Economics)
Microeconomics (2nd Edition) (Pearson Series in Economics)
2nd Edition
ISBN: 9780134492049
Author: Daron Acemoglu, David Laibson, John List
Publisher: PEARSON
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Chapter 5, Problem 3A

(a)

To determine

The reason for a downward sloping demand curve.

(b)

To determine

The slope of an Indifference curve.

(c)

To determine

The reason for why an Indifference curve becomes flattered when more of good X and less of good Y is consumed.

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4. If we have the utility function, U(x)=(x−7)^2, and we know that there is an indifference set around x = 4 and an upper contour set of x = 6. How to graphically represent this function? I'm confused about how to draw the upper contour set on the graph? I know the concept that upper contour is the area over the convex line, but don't know how to put it on the graph. Could you draw a simple graph to help me identify the upper contour?
Suppose utility can be measured by "utils" and that Jim buys both coffee and bagels. The price of coffee is $2 and the price of a bagel is $3. If Jim is currently consuming coffee and bagels such that the marginal utility from the last cup of coffee consumed was 6 utils and the marginal utility from the last bagel consumed was 12 utils, is Jim maximizing utility? Why or why not? If not, what should Jim do? Explain in detail.
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 d. Show that Paul's income will not permit him to reach the =20 indifference curve. e. If Paul buys five dozen donuts, how many cups of coffee can he buy and what is his utility? f. 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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