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a. Orange juice and apple juice are known to be perfect substitutes. Draw the appropriate priceconsumption 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
The price-consumption curve for perfect substitutes (apple juice, orange juice) is a downward sloping line; as price changes, the consumer buys more of the cheaper product. The income-consumption curve is parallel to the price-consumption curve; as income increases, the consumer buys more of the products. For perfect complements (left shoe, right shoe), the price-consumption curve is a right angle starting from the axes, and so is the income-consumption curve is a series of right angles starting at the origin, showing that the products are bought together in fixed amounts.

Step by step solution

01

Draw Price-Consumption Curve for perfect substitutes

On a graph with quantity of orange juice on the x-axis and quantity apple juice on the y-axis, draw a downward sloping line starting at a point on the y-axis. This line represents the bundles of orange and apple juice that the consumer can buy as the price of orange juice varies. This line is downward sloping because as the price of orange juice decreases, the consumer can afford to buy more of it.
02

Draw Income-Consumption Curve for perfect substitutes

On the same graph with quantities of apple and orange juice, the income-consumption curve is a line parallel to the price-consumption line. The position of the income-consumption curve is determined by the consumer's income level. As the consumer's income increases, the bargains shift outwards parallel. This is because with more income, the consumer can buy more of both juices.
03

Draw Price-Consumption Curve for perfect complements

In a graph similar to the one we used for perfect substitutes, a price-consumption curve for perfect complements like left and right shoes is a right angle that connects a point on the y-axis with a point on the x-axis. This indicates that the consumer buys the shoes in a 1:1 ratio regardless of price changes.
04

Draw Income-Consumption Curve for perfect complements

On the same graph with the number of shoes pairs on both axes, the income-consumption curve for perfect complements is a series of right angles starting at the origin and extending outward. Each right angle corresponds to a higher income level and reflects that the consumer buys more shoe pairs as income increases, again in a fixed 1 to 1 ratio (left to right).

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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. $$\begin{array}{|ccccc|} \hline \begin{array}{c} \text { PRICE } \\ \text { CLOTHING } \end{array} & \begin{array}{c} \text { PRICE } \\ \text { F00D } \end{array} & \begin{array}{c} \text { QUANTITY } \\ \text { CLOTHING } \end{array} & \begin{array}{c} \text { QUANTIT } \\ \text { F00D } \end{array} & \text { INCOME } \\ \hline \$ 10 & \$ 2 & 6 & 20 & \$ 100 \\ \hline \$ 10 & \$ 2 & 8 & 35 & \$ 150 \\ \hline \$ 10 & \$ 2 & 11 & 45 & \$ 200 \\ \hline \$ 10 & \$ 2 & 15 & 50 & \$ 250 \\ \hline \end{array}$$

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 \(\left(Q_{x p}\right)\) and students \((Q)\) are given below: \\[ \begin{array}{l} Q_{g p}=500-5 P \\ Q_{s}=200-4 P \end{array} \\] a. Graph the two demand curves on one graph, with \(P\) on the vertical axis and \(Q\) on 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 the income elasticity of demand for food is 0.5 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 that 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. Ts she better or worse off when given a rebate equal to the sales tax payments? Draw a graph and explain.

Suppose you are in charge of a toll bridge that costs essentially nothing to operate. The demand for bridge crossings \(Q\) is given by \(P=15-(1 / 2) Q\) 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 tollbridge 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 \(\$ 7\)

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: $$\begin{array}{|cccccc|} \hline & & \text { SAM } & \text { BARB } & \text { SAM } & \text { BARB } \\ \hline \begin{array}{c} \text { PRICE } \\ \text { OF 6 } \end{array} & \begin{array}{c} \text { PRICE } \\ \text { OF L } \end{array} & \begin{array}{c} \mathbf{L} \\ \text { (HOURS) } \end{array} & \begin{array}{c} \mathbf{l} \\ \text { (HOURS) } \end{array} & \mathbf{G}(\mathrm{S}) & \mathbf{G}(\mathrm{S}) \\ \hline 1 & 8 & 16 & 14 & 64 & 80 \\ \hline 1 & 9 & 15 & 14 & 81 & 90 \\ \hline 1 & 10 & 14 & 15 & 100 & 90 \\ \hline 1 & 11 & 14 & 16 & 110 & 88 \\ \hline \end{array}$$ Graphically illustrate Sam's leisure demand curve and Barb'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?

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