Consumers in Georgia pay twice as much for avocados as they do for peaches. However, avocados and peaches are the same price in California. If consumers in both states maximize utility, will the marginal rate of substitution of peaches for avocados be the same for consumers in both states? If not, which will be higher?

Short Answer

Expert verified

No, the marginal rate of substitution of peaches for avocados is different in both states.

The marginal rate of substitution of peaches for avocados in California is higher than in Georgia.

Step by step solution

01

Utility for the consumers in Georgia and California

The law of equi-marginal utility states that a consumer should spend his limited income on different commodities. The last rupee spent on each commodity yields him an equal marginal utility to get maximum satisfaction.

Marginal rate of substitution for consumers in Georgia:

MUavPav=MUpePpeMUpeMUav=PpePavMRSav.pe=12=0.5

Marginal rate of Substitution for consumers in California:

MUavPav=MUpePpeMUavMUpe=PavPpeMRSav.pe=1

02

Comparing the MRS of Georgia and California

MRS is used to show the quantity of good Y and good X, which are substitutable for one another. It includes bounded rationality in which consumers make purchasing decisions to satisfy their needs rather than achieve an optimal solution. It is related to the indifference curve.

From the computations above, it is evident that if consumers in both states maximize utility, the marginal rate of substitution of peaches for avocados in California is higher than in Georgia.

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Most popular questions from this chapter

Suppose that Bridget and Erin spend their incomes on two goods, food (F) and clothing (C). Bridget’s preferences are represented by the utility function U(F, C) = 10FC, while Erin’s preferences are represented by the utility function U(F,C) = 0.20F2C2.

a. With food on the horizontal axis and clothing on the vertical axis, identify on a graph the set of points that give Bridget the same level of utility as the bundle (10, 5). Do the same for Erin on a separate graph.

b. On the same two graphs, identify the set of bundles that give Bridget and Erin the same level of utility as the bundle (15, 8).

c. Do you think Bridget and Erin have the same preferences or different preferences? Explain.

Draw indifference curves that represent the following individuals' preferences for hamburgers and soft drinks. Indicate the direction in which the individuals' satisfaction (or utility) is increasing.

a. Joe has convex indifference curves and dislikes both hamburgers and soft drinks.

b. Jane loves hamburgers and dislikes soft drinks. If she is served a soft drink, she will pour it down the drain rather than drink it.

c. Bob loves hamburgers and dislikes soft drinks. If he is served a soft drink, he will drink it to be polite.

d. Molly loves hamburgers and soft drinks, but insists on consuming exactly one soft drink for every two hamburgers that she eats.

e. Bill likes hamburgers, but neither likes nor dislikes soft drinks.

f. Mary always gets twice as much satisfaction from an extra hamburger as she does from an extra soft drink.

Julio receives utility from consuming food (F) and clothing (C) as given by the utility function U(F,C) = FC. In addition, the price of food is \(2 per unit, the price of clothing is \)10 per unit, and Julio's weekly income is $50.

a. What is Julio's marginal rate of substitution of food for clothing when utility is maximized? Explain.

b. Suppose instead that Julio is consuming a bundle with more food and less clothing than his utility-maximizing bundle. Would his marginal rate of substitution of food for clothing be greater than or less than your answer in part a? Explain.

Janelle and Brian each plan to spend $20,000 on the styling and gas mileage features of a new car. They can each choose all styling, all gas mileage, or some combination of the two. Janelle does not care at all about styling and wants the best gas mileage possible. Brian likes both equally and wants to spend an equal amount on each. Using indifference curves and budget lines, illustrate the choice that each person will make.

Jane receives utility from days spent traveling on vacation domestically (D) and days spent traveling on vacation in a foreign country (F), as given by the utility function U(D,F) = 10DF. In addition, the price of a day spent traveling domestically is \(100, the price of a day spent traveling in a foreign country is \)400, and Jane's annual travel budget is $4000.

a. Illustrate the indifference curve associated with a utility of 800 and the indifference curve associated with a utility of 1200.

b. Graph Jane's budget line on the same graph.

c. Can Jane afford any of the bundles that give her a utility of 800? What about a utility of 1200?

*d. Find Jane's utility-maximizing choice of days spent traveling domestically and days spent in a foreign country.

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