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The cross-price elasticity of demand measures the percentage change in the quantity of a good demanded when the price of a different good changes by \(1 \% .\) The income elasticity of demand measures the percentage change in the quantity of a good demanded when the income of buyers changes by \(1 \% .\) a. What sign might you expect the cross-price elasticity to have if the two goods are shampoo and conditioner? Why? b. What sign might you expect the cross-price elasticity to have if the two goods are gasoline and ethanol? Why? c. What sign might you expect the cross-price elasticity to have if the two goods are coffee and shoes? Why? d. What sign might you expect the income elasticity to have if the good in question is hot stone massages? Why? e. What sign might you expect the income elasticity to have if the good in question is Ramen noodles? Why? f. What sign might you expect the income elasticity to have if the good in question is table salt? Why?

Short Answer

Expert verified
a. Negative; b. Positive; c. Zero; d. Positive; e. Negative; f. Nearly zero.

Step by step solution

01

Understand Cross-Price Elasticity for Complements

Cross-price elasticity of demand is positive for substitute goods and negative for complementary goods. Shampoo and conditioner are typically used together, indicating they are complementary. Thus, a rise in the price of shampoo might lower the demand for conditioner.
02

Determine Cross-Price Elasticity for Substitutes

Cross-price elasticity of demand is positive for substitute goods. Gasoline and ethanol can be considered substitutes as they both serve as fuels, and consumers may switch from one to the other if the price changes.
03

Evaluate Cross-Price Elasticity for Unrelated Goods

Coffee and shoes are unrelated goods. The demand for coffee would likely remain unaffected by a price change in shoes. Therefore, the cross-price elasticity for unrelated goods tends to be zero.
04

Infer Income Elasticity for Luxury Goods

Income elasticity of demand is positive for normal and luxury goods. Hot stone massages are likely to be a luxury, as they are discretionary purchases that increase as consumer incomes rise.
05

Assess Income Elasticity for Inferior Goods

Income elasticity of demand is negative for inferior goods, which people buy less of as their incomes increase. Ramen noodles, being a low-cost food option, might have a negative income elasticity.
06

Consider Income Elasticity for Necessities

Income elasticity is typically low or nearly zero for necessities, such as table salt, because the quantity purchased usually does not change significantly with income fluctuations.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Cross-Price Elasticity
Economists use cross-price elasticity to understand how the demand for one product changes when the price of another product changes. It helps in identifying the relationship between two goods. Here's how it works:
  • If the cross-price elasticity is positive, the goods are substitutes. People might choose one over the other if one becomes more expensive.
  • If the cross-price elasticity is negative, the goods are complementary. This means they are often used together, like shampoo and conditioner.
  • If the elasticity is near zero, the goods are likely unrelated, like coffee and shoes.
This concept helps businesses and economists predict consumer behavior and make pricing decisions.
Income Elasticity
Income elasticity of demand shows how the demand for a good changes as consumers' income changes. It is a valuable tool for identifying good types:
  • A positive income elasticity means the good is a normal good; more is bought as income rises.
  • A negative income elasticity signifies an inferior good; consumers buy less as their income increases.
  • A number close to zero indicates a necessity, since demand doesn't change much with income shifts.
Assessing income elasticity assists in foreseeing market demands as consumer incomes fluctuate.
Complementary Goods
Complementary goods are products usually consumed together. The classic example here is shampoo and conditioner. If the price of shampoo increases and the demand for conditioner decreases, these goods are seen as complements. Understanding complements is crucial because it:
  • Affects pricing strategies - a rise in price of one can lower sales of the other.
  • Helps in bundling strategies, such as offering deals if both products are bought together.
Retailers and manufacturers must carefully manage the pricing and marketing of complementary goods to maximize profitability.
Substitute Goods
Substitute goods are those that fulfill similar needs or functions, meaning consumers can replace one with the other. If the price of one rises, people may buy more of the substitute instead. For instance, gasoline and ethanol serve as fuels, so they can be seen as substitutes. Key insights about substitutes include:
  • High cross-price elasticity, meaning demand shifts easily between the two when their prices change.
  • Encourages competitive pricing strategies among producers of substitute goods.
Understanding substitutes helps businesses strategically adjust prices and marketing to gain or maintain market share.
Inferior Goods
Inferior goods are those that see a decline in demand as consumer incomes increase. A classic example is Ramen noodles: they are a low-cost food option, often favored when budgets are tight. Characteristics of inferior goods include:
  • Negative income elasticity - demand shrinks as people earn more.
  • Typically priced lower, making them attractive in financial constraints.
Manufacturers of inferior goods may focus on price-sensitive markets or regions to align with consumer buying power.
Luxury Goods
Luxury goods are products that see increased demand as consumer incomes rise, often seen as a symbol of wealth and status. Hot stone massages are an example of such a luxury, as their demand grows with rising incomes. Features of luxury goods include:
  • Positive and often high income elasticity.
  • Consumers purchase these goods for status or indulgence.
Recognizing luxury goods helps companies in targeting affluent consumers with premium marketing and pricing strategies.
Necessities
Necessities are goods that remain in demand regardless of income changes. These products are basics that people need to maintain a standard of living, like table salt. Attributes of necessities feature:
  • Low or near-zero income elasticity. Demand remains steady through income shifts.
  • Stable demand, making them insensitive to economic downturns or booms.
Companies dealing in necessities benefit from stable revenues but face challenges in significantly increasing their demand.

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Most popular questions from this chapter

Suppose that budding economist Buck measures the inverse demand curve for toffee as $$P=\$ 100-Q^{D}$$ and the inverse supply curve as \(P=Q^{S}\) Buck's economist friend Penny likes to measure everything in cents. She measures the inverse demand for toffee as \(P=10,000-100 Q^{D}\) and the inverse supply curve as \(P=100 Q^{S}\). a. Find the slope of the inverse demand curve and compute the price elasticity of demand at the market equilibrium using Buck's measurements. b. Find the slope of the inverse demand curve and compute the price elasticity of demand at the market equilibrium using Penny's measurements. Is the slope the same as Buck calculated? How about the price elasticity of demand?

Suppose the demand for down pillows is given by \(Q^{D}=100-P\), and that the supply of down pillows is given by \(Q^{S}=-20+2 P\) a. Solve for the equilibrium price. b. Plug the equilibrium price back into the demand equation and solve for the equilibrium quantity. c. Double-check your work by plugging the equilibrium price back into the supply equation and solving for the equilibrium quantity. Does your answer agree with what you got in (b)? d. Solve for the elasticities of demand and supply at the equilibrium point. Which is more elastic: demand or supply? e. Invert the demand and supply functions (in other words, solve each for \(P\) ) and graph them. Do the equilibrium point and relative elasticities shown in the graph appear to coincide with your answers?

The market for whisky in Scotland is described by the following demand and supply equations: Demand: \(Q^{D}=80-P\) Supply: \(Q^{S}=-40+2 P\) where \(P\) is the price of a liter of whisky and \(Q\) is the number of liters sold per week, in thousands. Suppose the Scottish government mandates a price of \(£ 60\) per liter. a. Is the market in equilibrium? Why or why not? b. At the government's price, is there an excess demand or excess supply of whisky? c. Suppose that the government decides to let the price of whisky be determined by the market rather than by the government. Based on your answer to (b), would you expect the price of whisky to increase, decrease, or stay the same? Explain your reasoning intuitively.

Some policy makers have claimed that the U.S. government should purchase illegal drugs, such as cocaine, to increase the price that drug users face and therefore reduce their consumption. Does this idea have any merit? Illustrate this logic in a simple supply and demand framework. How does the elasticity of demand for illegal drugs relate to the efficacy of this policy? Are you more or less willing to favor this policy if you are told demand is inelastic?

How is each of the following events likely to shift the supply curve or the demand curve for fast-food hamburgers in the United States? Make sure you indicate which curve (curves) is affected and if it shifts out or in. a. The price of beef triples. b. The price of chicken falls by half. c. The number of teenagers in the economy falls due to an aging population. d. Mad cow disease, a rare but fatal medical condition caused by eating tainted beef, becomes common in the United States. e. The Food and Drug Administration publishes a report stating that a certain weight-loss diet, which encourages the intake of large amounts of meat, is dangerous to one's health. f. An inexpensive new grill for home use that allows consumers to make delicious hamburgers is heavily advertised on television. g. The minimum wage rises.

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