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.

Short Answer

Expert verified

Janelle’s preference for car features will give a corner solution where she spends whole $20,000 on gas mileage.

Brian’s equal preference for both the features will divide the amount so that $10,000 is spent on gas mileage and another $10,000 on styling.

Step by step solution

01

Janelle’s preference and indifference curve

When a consumer consumes zero amount of a good and spends all their income on other goods such that indifference curves cut one of the axes, such preference is called corner solution.

Janelle’s total expense is $20,000. Janelle wants the best gas mileage and spends $20,000 for this feature. Since the other feature, styling, is not availed by the consumer, the scenario gives a corner solution.

Janelle’s indifference curve cuts the y-axis showing the amount spent on gas mileage.

02

Step 2:Brian’s preference and indifference curve

Brian prefers both the features, gas mileage, and styling equally; he will spend half of the amount on each feature. The indifference curve for Brian is shown below, where the indifference curve is tangential to the budget line precisely at the center at point A.

Point A at the center of the budget line signifies that Brian has an equal preference for gas mileage and styling.

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Most popular questions from this chapter

Brenda wants to buy a new car and has a budget of \(25,000. She has just found a magazine that assigns each car an index for styling and an index for gas mileage. Each index runs from 1 to 10, with 10 representing either the most styling or the best gas mileage. While looking at the list of cars, Brenda observes that on average, as the style index increases by one unit, the price of the car increases by \)5000. She also observes that as the gas-mileage index rises by one unit, the price of the car increases by \(2500.

a. Illustrate the various combinations of style (S) and gas mileage (G) that Brenda could select with her \)25,000 budget. Place gas mileage on the horizontal axis.

b. Suppose Brenda’s preferences are such that she always receives three times as much satisfaction from an extra unit of styling as she does from gas mileage. What type of car will Brenda choose?

c. Suppose that Brenda’s marginal rate of substitution (of the gas mileage for styling) is equal to S/(4G). What value of each index would she like to have in her car?

d. Suppose that Brenda’s marginal rate of substitution (of the gas mileage for styling) is equal to (3S)/G. What value of each index would she like to have in her car?

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.

In this chapter, consumer preferences for various commodities did not change during the analysis. In some situations, however, preferences do change as consumption occurs. Discuss why and how preferences might change over time with the consumption of these two commodities:

a. cigarettes.

b. dinner for the first time at a restaurant with a special cuisine.

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?

If Jane is currently willing to trade 4 movie tickets for 1 basketball ticket, then she must like basketball better than movies. True or false? Explain.

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