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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

Connie has a monthly income of \(200 that she allocates between two goods: meat and potatoes.

a. Suppose meat costs \)4 per pound and potatoes \(2 per pound. Draw her budget constraint.

b. Suppose also that her utility function is given by the equation U(M,P) = 2M + P. What combination of meat and potatoes should she buy to maximize her utility? (Hint: Meat and potatoes are perfect substitutes.)

c. Connie's supermarket has a special promotion. If she buys 20 pounds of potatoes (at \)2 per pound), she gets the next 10 pounds for free. This offer applies only to the first 20 pounds she buys. All potatoes in excess of the first 20 pounds (excluding bonus potatoes) are still \(2 per pound. Draw her budget constraint.

d. An outbreak of potato rot raises the price of potatoes to \)4 per pound. The supermarket ends its promotion. What does her budget constraint look like now? What combination of meat and potatoes maximizes her utility?

Anne has a job that requires her to travel three out of every four weeks. She has an annual travel budget and can travel either by train or by plane. The airline on which she typically flies has a frequent-traveler program that reduces the cost of her tickets according to the number of miles she has flown in a given year. When she reaches 25,000 miles, the airline will reduce the price of her tickets by 25 percent for the remainder of the year. When she reaches 50,000 miles, the airline will reduce the price by 50 percent for the remainder of the year. Graph Anne’s budget line, with train miles on the vertical axis and plane miles on the horizontal axis.

The price of DVDs (D) is \(20, and the price of CDs (C) is \)10. Philip has a budget of $100 to spend on the two goods. Suppose that he has already bought one DVD and one CD. In addition, there are 3 more DVDs and 5 more CDs that he would really like to buy.

a. Given the above prices and income, draw his budget line on a graph with CDs on the horizontal axis.

b. Considering what he has already purchased and what he still wants to purchase, identify the three different bundles of CDs and DVDs that he could choose. For this part of the question, assume that he cannot purchase fractional units.

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.

Ben allocates his lunch budget between two goods, pizza, and burritos.

a. Illustrate Ben’s optimal bundle on a graph with pizza on the horizontal axis.

b. Suppose now that pizza is taxed, causing the price to increase by 20 percent. Illustrate Ben’s new optimal bundle.

c. Suppose instead that pizza is rationed at a quantity less than Ben’s desired quantity. Illustrate Ben’s new optimal bundle.

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