6.8 (0) Casper consumes cocoa and cheese. He has an income of $16. Cocoa is sold in an unusual way. There is only one supplier and the more cocoa one buys from him, the higher the price one has to pay per unit. In fact, r units of cocoa will cost Casper a total of x² dollars. Cheese is sold in the usual way at a price of $2 per unit. Casper's budget oquation, therefore, is a² + 2y = 16 where r is his consumption of cocoa and y is his consumption of cheese. Casper's utility function is U (r, y) = 3x + y. (a) On the graph below, draw the boundary of Casper's budget set in blue ink. Use red ink to sketch two or three of his indifference curves. Cheese 16 12 8 0 4 8 12 16 Cocoa (b) Write an equation that says that at the point (r, y), the slope of Casper's budget "line" equals the slope of his indifference "curve." Casper demands units of cocoa and units
6.8 (0) Casper consumes cocoa and cheese. He has an income of $16. Cocoa is sold in an unusual way. There is only one supplier and the more cocoa one buys from him, the higher the price one has to pay per unit. In fact, r units of cocoa will cost Casper a total of x² dollars. Cheese is sold in the usual way at a price of $2 per unit. Casper's budget oquation, therefore, is a² + 2y = 16 where r is his consumption of cocoa and y is his consumption of cheese. Casper's utility function is U (r, y) = 3x + y. (a) On the graph below, draw the boundary of Casper's budget set in blue ink. Use red ink to sketch two or three of his indifference curves. Cheese 16 12 8 0 4 8 12 16 Cocoa (b) Write an equation that says that at the point (r, y), the slope of Casper's budget "line" equals the slope of his indifference "curve." Casper demands units of cocoa and units
Principles of Economics (MindTap Course List)
8th Edition
ISBN:9781305585126
Author:N. Gregory Mankiw
Publisher:N. Gregory Mankiw
Chapter21: The Theory Of Consumer Choice
Section: Chapter Questions
Problem 1PA
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Transcribed Image Text:6.8 (0) Casper consumes cocoa and cheese. He has an income of $16.
Cocoa is sold in an unusual way. There is only one supplier and the more
cocoa one buys from him, the higher the price one has to pay per unit.
In fact, r units of cocoa will cost Casper a total of x² dollars. Cheese is
sold in the usual way at a price of $2 per unit. Casper's budget oquation,
therefore, is a² + 2y = 16 where r is his consumption of cocoa and y is
his consumption of cheese. Casper's utility function is U (xr, y) = 3r + y.
(a) On the graph below, draw the boundary of Casper's budget set in
blue ink. Use red ink to sketch two or three of his indifference curves.
Cheese
16
12
8
0 4 8 12
16
Cocoa
(b) Write an equation that says that at the point (r, y), the slope of
Casper's budget "line" equals the slope of his indifference "curve.".
Casper demands
units of cocoa and
units
of cheese.
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