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18 Oct 2018

Charlie has a utility function U(A,B)=AB, the price of apples is $3, and the price of bananas is $2. If Charlie's income were $120, how many units of bananas would he consume if he chose the bundle that maximized his utility subject to his budget constraint?..... Please make sure I can tell which part is the answer

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Lelia LubowitzLv2

20 Oct 2018

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Related questions

Respond True or False to the following, and explain why each answer is True or False:

a. If two goods x and y are perfect complements, then if the price of x falls, the entire change in demand for x is due to the income effect.

b. A consumer has the utility function given by U=min{x1,2x2}. If good 2, has a price of zero, the consumer will always strictly prefer more of good 2 to less.

c. Ivan spends his entire income on two goods. One of them is a Giffen good. If the price of the Giffen good rises, demand for the other good must fall.

d. Jimmy's utility function is U(a,b) = ab, where a is his consumption of apples and b is his consumption of bananas. If prices and income change in such a way that Jimmy's old consumption bundle lies on his new budget line, then Jimmy will not change his consumption bundle.

blueantelope865

1. Suppose the price of x₁ is $20 and the price of x₂ is $4. If good x₁ is on the horizontal axis, what is the slope of the consumer's budget constraint?

a. -0.20

b. -0.25

c. -5.0

d. -0.2

e. -4.0

f. -20.0

2. Suppose the price of x1 is $5 and the price of x2 is $1 and Toni's income is $20. Suppose Toni gets a $5 gift card that can only be used for the purchase of x1 and there is no resale value of the gift card. With the gift card, the commodity bundle (1,20) is on Toni's budget constraint.

True

False

3. Tiffany's utility function is given by the formula U(x1, x2) = min{20x1, 10x2}. If x1 = x2, which commodity will have a greater marginal utility?

A. Both x1 and x2 have the same marginal utility

B. It is not possible to determine which commodity has higher marginal utility

C. x2

D. x1

4. For U(x₁,x₂) = 6x₁^1/3 + x₂, preferences are

a. consistent with diminishing marginal rate of substitution.

b. consistent with constant marginal rate of substitution.

c. consistent with increasing marginal rate of substitution.

d. not consistent with a utility function.

5. For a utility function of the form U(x₁,x₂)=min{5x₁,10x_2}, the individual will have excess x₂ for commodity bundles where

a. x2>2x1 b. x2>5x₁

c. x₂>0.5x₁ d. x2>10x₁

6. Matt enjoys Fuji and Gala apples and finds 1 Fuji apple to be just as good as 4 Gala apples.

a. Matt's preferences over Fuji (F) and Gala (G) apples can be represented by the utility function U(F,G)=0.25F+G

b. Matt's preferences over Fuji (F) and Gala (G) apples can be represented by the utility function U(F,G)=F+4G

c. Matt's preferences over Fuji (F) and Gala (G) apples can be represented by the utility function U(F,G)=4F+.25G

d. Matt's preferences over Fuji (F) and Gala (G) apples can be represented by the utility function U(F,G)=4F+G

e. Both A and B

f. Both C and D

amaranthelk637

Quantity of pita wraps	Total utility	Quantity of Bubble teas	Total Utility
1	60	1	40
2	102	2	70
3	132	3	91
4	144	4	106
5	144	5	112
6	138	6	115
7	128	7	115

Keegan has $30 to spend on Pita Wraps and Bubble Tea. The price of a Pita Wrap is $6 and the price of a glass of Bubble Tea is $3. The table above shows his total utility from different quantities of the two items.

a) What is Keegan's optimal consumption bundle?

b) What is Keegan's marginal utility per dollar spent on the third pita wrap?

c) If Keegan can drink all the bubble tea he wants for free, how many glasses will he consume?

2. Suppose Joe is maximizing total utility within his budget constraint. If the price of the last pair of jeans purchased is $25 and it yields 100 units of extra satisfaction and the price of the last shirt purchased is $20, then, using the rule of equal marginal utility per dollar spent, how much extra satisfaction must Joe receive from the last shirt?

3. Popular rock band U2 regularly sells out its concerts, charging $80 for its tickets. They could raise ticket prices to $120 and still sell out their concerts, but choose not to do so. What is the best economic explanation for this decision?