Include correctly labeled diagrams, if useful or required, in explaining your answers. A correctly labeled diagram must have all axes and curves clearly labeled and must show directional changes. If the question prompts you to "Calculate," you must show how you arrived at your final answer. The table below shows the marginal utilities in utils that Sarah derives from consuming two goods, snacks, and movies. Quantity of Snacks 0 1 2 3 4 5 6 Marginal Utility of Snacks 20 18 15 12 10 8 Quantity of Movies 0 1 2 3 4 5 6 Marginal Utility of Movies 50 35 24 20 15 10 Sarah has a limited weekly income of $50, and she spends it all on snacks and movies Assume the price of snacks is $5 per unit, the price of a movie ticket is $10, and Sarah is a utility-maximizing consumer. (a) Would Sarah be able to consume 3 snacks and 5 movies? Explain using numbers. (b) How many snacks and movies will Sarah consume to maximize her utility? Explain using marginal analysis. (c) Calculate the total utility Sarah will receive from consuming the utility-maximizing combination of snacks and movies indicated in your answer in part (a). Show your work.

ENGR.ECONOMIC ANALYSIS
14th Edition
ISBN:9780190931919
Author:NEWNAN
Publisher:NEWNAN
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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Include correctly labeled diagrams, if useful or required, in explaining your answers. A
correctly labeled diagram must have all axes and curves clearly labeled and must
show directional changes. If the question prompts you to "Calculate," you must show
how you arrived at your final answer.
The table below shows the marginal utilities in utils that Sarah derives from consuming
two goods, snacks, and movies.
Quantity
of Snacks
0
1
2
3
4
5
6
Marginal
Utility of
Snacks
20
18
15
12
10
8
Quantity
of Movies
0
1
2
3
4
5
6
Marginal
Utility of
Movies
50
35
24
20
15
10
Sarah has a limited weekly income of $50, and she spends it all on snacks and movies.
Assume the price of snacks is $5 per unit, the price of a movie ticket is $10, and Sarah
is a utility-maximizing consumer.
(a) Would Sarah be able to consume 3 snacks and 5 movies? Explain using numbers.
(b) How many snacks and movies will Sarah consume to maximize her utility? Explain
using marginal analysis.
(c) Calculate the total utility Sarah will receive from consuming the utility-maximizing
combination of snacks and movies indicated in your answer in part (a). Show your
work.
(d) Suppose Sarah's income increases to $60.
(i) What will happen to the marginal utility per dollar spent on movies?
(ii) Will Sarah be better off buying two more snacks or one more movie ticket?
Explain using numbers.
Transcribed Image Text:Include correctly labeled diagrams, if useful or required, in explaining your answers. A correctly labeled diagram must have all axes and curves clearly labeled and must show directional changes. If the question prompts you to "Calculate," you must show how you arrived at your final answer. The table below shows the marginal utilities in utils that Sarah derives from consuming two goods, snacks, and movies. Quantity of Snacks 0 1 2 3 4 5 6 Marginal Utility of Snacks 20 18 15 12 10 8 Quantity of Movies 0 1 2 3 4 5 6 Marginal Utility of Movies 50 35 24 20 15 10 Sarah has a limited weekly income of $50, and she spends it all on snacks and movies. Assume the price of snacks is $5 per unit, the price of a movie ticket is $10, and Sarah is a utility-maximizing consumer. (a) Would Sarah be able to consume 3 snacks and 5 movies? Explain using numbers. (b) How many snacks and movies will Sarah consume to maximize her utility? Explain using marginal analysis. (c) Calculate the total utility Sarah will receive from consuming the utility-maximizing combination of snacks and movies indicated in your answer in part (a). Show your work. (d) Suppose Sarah's income increases to $60. (i) What will happen to the marginal utility per dollar spent on movies? (ii) Will Sarah be better off buying two more snacks or one more movie ticket? Explain using numbers.
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