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

An individual consumes two goods, clothing and food. Given the information below, illustrate both the income-consumption curve and the Engel curve for clothing and food.

PRICE

CLOTHING

PRICE

FOOD

QUANTITY

CLOTHING

QUANTITY

FOOD

INCOME
\(10
\)2
620\(100
\)10
\(2
835\)150
\(10
\)2
1145\(200
\)10
\(2
1550\)250

An individual sets aside a certain amount of his income per month to spend on his two hobbies, collecting wine and collecting books. Given the information below, illustrate both the price-consumption curve associated with changes in the price of wine and the demand curve for wine.

PRICE

WINE


PRICE

BOOK


QUANTITY

WINE


QUANTITY

BOOK


BUDGET
\(10
\)10
78\(150
\)12
\(10
59\)150
\(15
\)10
49\(150
\)29
\(10
211\)150

Suppose the income elasticity of demand for food is0.5 and the price elasticity of demand is -1.0. Suppose also that Felicia spends \(10,000 a year on food, the

price of food is \)2, and her income is \(25,000.

a. If a sales tax on food caused the price of food to increase to \)2.50, what would happen to her consumption of food? (Hint: Because a large price change is involved, you should assume that the price elasticity measures an arc elasticity, rather than a point elasticity.)

b. Suppose that Felicia gets a tax rebate of $2500 to ease the effect of the sales tax. What would her consumption of food be now?

c. Is she better or worse off when given a rebate equal to the sales tax payments? Draw a graph and explain.

Suppose that you are the consultant to an agricultural cooperative that is deciding whether members should cut their production of cotton in half next year. The cooperative wants your advice as to whether this action will increase members’ revenues. Knowing that cotton (C) and soybeans (S) both compete for agricultural land in the South, you estimate the demand for cotton to be C = 3.5 - 1.0PC + 0.25PS + 0.50I, where PC is the price of cotton, PS the price of soybeans, and income. Should you support or oppose the plan? Is there any additional information that would help you to provide a definitive answer?

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 Bill’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 Mary’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 Jane’s three chosen bundles. What can you say about Jane’s preferences in this case? Identify the income and substitution effects that result from a change in the price of good x1.

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