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a. Orange juice and apple juice are known to be perfect substitutes. Draw the appropriate price consumption curve (for a variable price of orange juice) and income-consumption curve.

b. Left shoes and right shoes are perfect complements. Draw the appropriate price-consumption and income-consumption curves.

Short Answer

Expert verified

a. The price consumption and income consumption curves for orange and apple juice are given below.

b. The price consumption and income consumption curves for left and right shoes are given below.

Step by step solution

01

Perfect Substitutes and Perfect Complements. 

Perfect substitutes are the goods that can be used in place of one another, for example, tea and coffee. At the same time, perfect complements are the goods that are used together only and cannot be used without each other, such as a lock and key.

02

Explanation for part (a)

  • The price consumption curve for orange and apple juice is as follows.

The graph given above shows apple juice on the x-axis and orange juice on the y-axis. The consumer will use apple juice only if the price of apple juice is less than the orange juice and would buy orange juice only if the price of orange juice is less than the price of apple juice; this is because both the juices are perfect substitutes for one another.

Corresponding to this behavior, the price consumption curves will lie along the axis only as depicted in the graph; however, if both the juices' prices are equal, the consumer will allocate their expenditure accordingly.

  • The income consumption curve for orange and apple juice is as follows.

The graph above shows apple juice on the x-axis and orange juice on the y-axis. Given the budget constraint and different levels of satisfaction depicted by the consumer's U1, U2, and U3, the graph shows the income consumption curve along the x-axis, assuming the prices of oranges are less than the prices of apples and the consumer buys oranges only.

03

Explanation for part (b)

  • The price consumption curve for left and right shoes is as follows.

The graph given above shows the right shoe on the y-axis and the left shoe on the x-axis. For perfect complements, the indifference curves are L-shaped;therefore, the price consumption curves are drawn.

  • The income consumption curve for left and right shoes:

The graph given above shows the right shoe on the y-axis and the left shoe on the x-axis. The income consumption curve will also be a straight line sloping upward corresponding to the L-shaped indifference curves.

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Most popular questions from this chapter

A consumer lives on a diet of solely steak and potatoes. Her budget is \(30 for every 10 days, and she must buy enough potatoes to eat at least two potatoes per day.

a. A potato costs \)0.50 and the price of a steak is \(10.How much will the consumer purchase of each good?

b. Now suppose that the price of potato increases to \)1. How much will the consumer purchase of each good?

c. Now suppose that the price of potato increases to $1.25. How much will the consumer purchase of each good?

d. What kind of good is the potato?

e. Would you expect the demand curve for potatoes to continue to follow this trend indefinitely? Why or why not?

The director of a theater company in a small college town is considering changing the way he prices tickets. He has hired an economic consulting firm to estimate the demand for tickets. The firm has classified people who go to the theater into two groups and has come up with two demand functions. The demand curves for the general public (Qgp) and students (Qs)

are given below:

Qgp = 500 - 5P

Qs = 200 - 4P

a. Graph the two demand curves on one graph, withon the vertical axis andQon the horizontal axis. If the current price of tickets is \(35, identify the quantity demanded by each group.

b. Find the price elasticity of demand for each group at the current price and quantity.

c. Is the director maximizing the revenue he collects from ticket sales by charging \)35 for each ticket? Explain.

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Each week, Bill, Mary, and Jane select the quantity of two goods,x1 andx2, that they will consume in order to maximize their respective utilities. They each spend their entire weekly income on these two goods.

a. Suppose you are given the following information about the choices that Bill makes over a three-week period:


X1X2P1P2I
Week 1
10202140
Week 2
7193140
Week 3
8313155

Did Billโ€™s utility increase or decrease between week1 and week 2? Between week 1 and week 3? Explain using a graph to support your answer.

b. Now consider the following information about the choices that Mary makes:


X1X2P1P2I
Week 1
10202140
Week 2
6143240
Week 3
20103260

Did Maryโ€™s utility increase or decrease between week 1 and week 3? Does Mary consider both goods to be normal goods? Explain.

c. Finally, examine the following information about Janie's choices:


X1X2P1P2I
Week 1
12242148
Week 2
16321148
Week 3
12241136

Draw a budget line-indifference curve graph that illustrates Janeโ€™s three chosen bundles. What can you say about Janeโ€™s preferences in this case? Identify the income and substitution effects that result from a change in the price of good x1.

By observing an individualโ€™s behavior in the situations outlined below, determine the relevant income elasticities of demand for each good (i.e., whether it is normal or inferior). If you cannot determine the income elasticity, what additional information do you need?

a. Bill spends all his income on books and coffee. He finds \(20 while rummaging through a used paperback in at the bookstore. He immediately buys a new hardcover book of poetry.

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