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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

Short Answer

Expert verified

The income consumption curve for clothing and food is given below:

The Engel curves for food and clothing are given below:

Step by step solution

01

Income consumption curve and Engel curve

The Income consumption curve depicts various consumption bundles that a consumer chooses at various levels of income. The Engel curve shows how the consumption of the consumer varies with changes in his income.

02

Explanation of the graphs

The graph below shows units of clothing on the y-axis and units of food on the x-axis.

As given in the table, the different units of clothing are 0, 6,8,11, and 15 and of food are 20, 35, 45, and 50 at different levels of income. The income consumption curve is drawn corresponding to these units of clothing and food, depicting how a consumer allocates his income between the two.

The Engel graph below shows income along the y-axis and the unit of clothing and food on the x-axis, respectively.

At the different levels of income, the consumer consumes different units of goods. For example, at $100 income, the consumer demands six units of clothing and 20 units of food. Corresponding to different levels of income, the consumption units of food and clothing increase, depicting an upward sloping Engel curve.

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Most popular questions from this chapter

You run a small business and would like to predict what will happen to the quantity demanded for your product if you raise your price. While you do not know the exact demand curve for your product, you do know that in the first year you charged \(45 and sold 1200 units and that in the second year you charged \)30 and sold 1800 units.

a. If you plan to raise your price by 10 percent, what would be a reasonable estimate of what will happen to quantity demanded in percentage terms?

b. If you raise your price by 10 percent, will revenue increase or decrease?

Two individuals, Sam and Barb, derive utility from the hours of leisure (L) they consume and from the amount of goods (G) they consume. In order to maximize utility, they need to allocate the 24 hours in the day between leisure hours and work hours. Assume that

all hours not spent working are leisure hours. The price of a good is equal to $1 and the price of leisure is equal to the hourly wage. We observe the following information about the choices that the two individuals make:

Graphically illustrate Samโ€™s leisure demand curve andBarbโ€™s leisure demand curve. Place price on the vertical axis and leisure on the horizontal axis. Given that they both maximize utility, how can you explain the difference in their leisure demand curves?

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.

d. What price should he charge each group if he wants to maximize revenue collected from ticket sales?

Judy has decided to allocate exactly $500 to college textbooks every year, even though she knows that the prices are likely to increase by 5 to 10 percent per year and that she will be getting a substantial monetary gift from her grandparents next year. What is Judyโ€™s price elasticity of demand for textbooks? Income elasticity?

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.

b. Bill loses \)10 he was going to use to buy a double espresso. He decides to sell his new book at a discount to a friend and use the money to buy coffee.

c. Being bohemian becomes the latest teen fad. As a result, coffee and book prices rise by 25 percent. Bill lowers his consumption of both goods by the same percentage.

d. Bill drops out of art school and gets an M.B.A. instead. He stops reading books and drinking coffee. Now he reads the Wall Street Journal and drinks bottled mineral water.

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