Columns 1 through 4 of the accompanying table show the marginal utility, measured in utils, that Ricardo would get by purchasing various amounts of products A, B, C, and D. Column 5 shows the marginal utility Ricardo gets from saving. Assume that the prices of A, B, C, and D are $18, $6, $4, and $24, respectively, and that Ricardo has an income of $105. Column 1 Column 2 Column 3 Column 4 Units Units Units Units of A MU of B MU of C MU of D MU 1 72 1 24 1 15 1 36 2 54 15 2 12 2 30 3 45 12 3 8 3 24 4 36 4 9 4 7 4 18 5 27 7 5 5 13 18 6. 6 4 6 7 7 15 7 2 7 3.5 7 4 8 12 8 1 8 3 8 2

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
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Chapter4: Utility Maximization And Choice
Section: Chapter Questions
Problem 4.12P
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Columns 1 through 4 of the accompanying table show the marginal utility, measured in utils,
that Ricardo would get by purchasing various amounts of products A, B, C, and D.
Column 5 shows the marginal utility Ricardo gets from saving. Assume that the
prices of A, B, C, and D are $18, $6, $4, and $24, respectively, and that Ricardo has
an income of $105.
Column 1
Column 2
Column 3
Column 4
Units
Units
Units
Units
of A
MU
of B
MU
of C
MU
of D
MU
1
72
1
24
1
15
1
36
54
15
12
2
30
3
45
3
12
3
8.
3
24
4
36
4
7
4
18
27
7
5
5
13
6
18
6
5
6
4
6
7
7
15
7
2
7
3.5
7
8
12
8
1
8
3
8
2
а.
What quantities of A, B, C, and D will Ricardo purchase in maximizing his utility?
b. How many dollars will Ricardo choose to save?
c.
Check your answers by substituting them into the algebraic statement of the
utility-maximizing rule. In other words, show it works when using this rule.
Transcribed Image Text:Columns 1 through 4 of the accompanying table show the marginal utility, measured in utils, that Ricardo would get by purchasing various amounts of products A, B, C, and D. Column 5 shows the marginal utility Ricardo gets from saving. Assume that the prices of A, B, C, and D are $18, $6, $4, and $24, respectively, and that Ricardo has an income of $105. Column 1 Column 2 Column 3 Column 4 Units Units Units Units of A MU of B MU of C MU of D MU 1 72 1 24 1 15 1 36 54 15 12 2 30 3 45 3 12 3 8. 3 24 4 36 4 7 4 18 27 7 5 5 13 6 18 6 5 6 4 6 7 7 15 7 2 7 3.5 7 8 12 8 1 8 3 8 2 а. What quantities of A, B, C, and D will Ricardo purchase in maximizing his utility? b. How many dollars will Ricardo choose to save? c. Check your answers by substituting them into the algebraic statement of the utility-maximizing rule. In other words, show it works when using this rule.
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