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

Short Answer

Expert verified

The following are the price-consumption and demand curves:

Step by step solution

01

Price consumption curve and demand curve

The price consumption curve is a graphical representation of how consumers' choices between different units of different goods change when the prices of goods change. On the other hand, the demand curve depicts how the demand of the consumer for a particular interest varies due to changes in the price.

02

Explanation of the graphs.

The graph below depicts the units of books on the y-axis and the units of wine on the x-axis. The curve corresponding to different levels of the units of books and wine is the price consumption curve depicting how a consumer switches his choices with changes in the prices of goods.

As the price of wine increases (the fixed price of books), the budget line moves inside along the x-axis (the intercept on the y-axis is the same). The new tangency point between a new IC (lower than before) and a new budget line decreases the quantity demanded. Thus, the demand curve is as shown below.

The graph below depicts the price of wine along the y-axis and units of wine on the x-axis; the demand curve is the downward sloping curve showing that as the price of wine increases, the units demanded to decrease.

In the graph above, as the prices decrease from 20 to 15 and then to 10 and so on, the quantity demanded increases from 1 to 2 to 3. It depicts that more quantity is demanded at low prices and vice-versa.

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Most popular questions from this chapter

Vera has decided to upgrade the operating system on her new PC. She hears that the new Linux operating system is technologically superior to Windows and substantially lower in price. However, when she asks her friends, it turns out they all use PCs with Windows. They agree that Linux is more appealing but add that they see relatively few copies of Linux on sale at local stores. Vera chooses Windows. Can you explain her decision?

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?

Suppose you are in charge of a toll bridge that costs essentially nothing to operate. The demand for bridge crossingsQis given byP= 15 - (1/2)Q.

a. Draw the demand curve for bridge crossings.

b. How many people would cross the bridge if there were no toll?

c. What is the loss of consumer surplus associated with a bridge toll of \(5?

d. The toll-bridge operator is considering an increase in the toll to \)7. At this higher price, how many people would cross the bridge? Would the toll-bridge revenue increase or decrease? What does your answer tell you about the elasticity of demand?

e. Find the lost consumer surplus associated with the increase in the price of the toll from \(5 to \)7.

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.

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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