What can you conclude about the price elasticity of demand in each of the following statements? a. "The pizza delivery business in this town is very competitive. I'd lose half my customers if I raised the price by as little as \(10 \%\)." b. "I owned both of the two Jerry Garcia autographed lithographs in existence. I sold one on eBay for a high price. But when I sold the second one, the price dropped by \(80 \%\)." c. "My economics professor has chosen to use the Krugman/Wells textbook for this class. I have no choice but to buy this book." d. "I always spend a total of exactly \(\$ 10\) per week on coffee."

Short Answer

Expert verified
a. Elastic demand. b. Highly elastic demand, although the sample size is too small for general conclusions. c. Perfectly inelastic demand. d. Unitary elastic demand.

Step by step solution

01

Analyzing the Pizza Delivery Business

To determine the price elasticity of demand for the pizza delivery business, we apply the given situation. The owner would lose half (50%) of the customers if the prices were raised by 10%. Since the percentage change in quantity demanded (50%) is greater than the percentage change in price (10%), demand is elastic.
02

Understanding the Jerry Garcia Autographed Lithographs

The owner had two unique autographed lithographs and sold them on eBay. The price for the second one dropped by 80%, which indicates that the initial high demand was due to its rarity. With an 80% drop in price, presumably following an increase in quantity from 1 to 2, this suggests highly elastic demand; however, the specificity of 'two lithographs' limits the extent to which we can generalize about elasticity.
03

Assessing the Demand for the Textbook

Since the professor requires the Krugman/Wells textbook for class, students must purchase it regardless of the price. This scenario describes a situation of perfectly inelastic demand because the quantity demanded does not change despite a change in price.
04

Examining the Weekly Coffee Expenditure

The statement that the individual always spends exactly $10 per week on coffee, regardless of the price per cup, indicates that the quantity demanded changes proportionally with price. This is known as unitary elastic demand, where the percentage change in price is met with an equivalent percentage change in quantity demanded so that the total expenditure remains the same.

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Key Concepts

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

Elastic Demand
Elastic demand occurs when the quantity demanded of a product changes significantly in response to a price change. This concept is exemplified by the pizza delivery business in the mentioned scenario. When the owner contemplates a slight price increase of 10%, they expect to lose a substantial number of customers—half, in this case.

The elasticity is measured by the percentage change in quantity demanded relative to the percentage change in price. Here, a 10% price hike leads to a 50% decrease in demand; hence, the demand is considered highly elastic. Understanding elastic demand helps businesses predict potential revenue changes when considering price adjustments.
Perfectly Inelastic Demand
Perfectly inelastic demand is a situation in which the quantity demanded remains constant regardless of any changes in price. This phenomenon is rare, as it typically involves essential goods or products with no available substitutes.

An example would be the case of the Krugman/Wells textbook that is mandatory for economics students. No matter the cost, students have to purchase the textbook for their course, indicating that the quantity demanded does not change with price. In this case, the price elasticity of demand is zero, denoting perfectly inelastic demand. It's important to note that only a few products or services exhibit perfectly inelastic demand, as most goods will experience some change in quantity demanded when prices fluctuate.
Unitary Elastic Demand

Spending Patterns and Demand Elasticity

When the total amount a consumer spends on a product doesn't change despite the fluctuation in the product's price, we are dealing with a situation termed unitary elastic demand. The scenario of an individual who consistently spends \(10 on coffee weekly illustrates this concept.

Whether prices go up or down, this person adjusts the quantity of coffee they buy to maintain their \)10 expenditure. Here, the percentage change in the price is exactly offset by an equal but opposite percentage change in the quantity demanded, implying a proportionate response. Unitary elastic demand is an important concept for businesses as they weigh price changes since it directly impacts total revenue.
Quantity Demanded
Quantity demanded is a term referring to the specific amount of a good or service that consumers are willing and able to purchase at a given price. It is important not to confuse this with demand, which encompasses the entire range of quantities that would be purchased at any given price.

In the context of the four scenarios, the quantity demanded is affected differently. For instance, in the competitive pizza delivery market (elastic demand), quantity demanded decreases sharply with a price increase, while for the textbook (perfectly inelastic demand), the quantity demanded remains unchanged despite price changes. Consumers potentially exhibit different quantity demanded at each price level, which affects a firm's pricing strategy and overall market analysis.

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Most popular questions from this chapter

The U.S. government is considering reducing the amount of carbon dioxide that firms are allowed to produce by issuing a limited number of tradable allowances for carbon dioxide \(\left(\mathrm{CO}_{2}\right)\) emissions. In an April 25 , 2007, report, the U.S. Congressional Budget Office \((\mathrm{CBO})\) argues that "most of the cost of meeting a cap on \(\mathrm{CO}_{2}\) emissions would be borne by consumers, who would face persistently higher prices for products such as electricity and gasoline \(\ldots\) poorer households would bear a larger burden relative to their income than wealthier households would." What assumption about one of the elasticities you learned about in this chapter has to be true for poorer households to be disproportionately affected?

According to data from the U.S. Department of Energy, sales of the fuel- efficient Toyota Prius hybrid fell from 158,574 vehicles sold in 2008 to 139,682 in \(2009 .\) Over the same period, according to data from the U.S. Energy Information Administration, the average price of regular gasoline fell from $$\$ 3.27$$ to $$\$ 2.35$$ per gallon. Using the midpoint method, calculate the cross-price elasticity of demand between Toyota Prii (the official plural of "Prius" is "Prii") and regular gasoline. According to your estimate of the cross-price elasticity, are the two goods complements or substitutes? Does your answer make sense?

Taiwan is a major world supplier of semiconductor chips. A recent earthquake severely damaged the production facilities of Taiwanese chip-producing companies, sharply reducing the amount of chips they could produce. a. Assume that the total revenue of a typical nonTaiwanese chip manufacturer rises due to these events. In terms of an elasticity, what must be true for this to happen? Illustrate the change in total revenue with a diagram, indicating the price effect and the quantity effect of the Taiwan earthquake on this company's total revenue. b. Now assume that the total revenue of a typical nonTaiwanese chip manufacturer falls due to these events. In terms of an elasticity, what must be true for this to happen? Illustrate the change in total revenue with a diagram, indicating the price effect and the quantity effect of the Taiwan earthquake on this company's total revenue.

A recent report by the U.S. Centers for Disease Control and Prevention \((\mathrm{CDC}),\) published in the CDC's Morbidity and Mortality Weekly Report, studied the effect of an increase in the price of beer on the incidence of new cases of sexually transmitted disease in young adults. In particular, the researchers analyzed the responsiveness of gonorrhea cases to a tax-induced increase in the price of beer. The report concluded that "the ... analysis suggested that a beer tax increase of $$\$ 0.20$$ per six-pack could reduce overall gonorrhea rates by \(8.9 \% . "\) Assume that a sixpack costs \(\$ 5.90\) before the price increase. Use the midpoint method to determine the percent increase in the price of a six-pack, and then calculate the cross-price elasticity of demand between beer and incidence of gonorrhea. According to your estimate of this cross-price elasticity of demand, are beer and gonorrhea complements or substitutes?

Use an elasticity concept to explain each of the following observations. a. During economic booms, the number of new personal care businesses, such as gyms and tanning salons, is proportionately greater than the number of other new businesses, such as grocery stores. b. Cement is the primary building material in Mexico. After new technology makes cement cheaper to produce, the supply curve for the Mexican cement industry becomes relatively flatter. c. Some goods that were once considered luxuries, like a telephone, are now considered virtual necessities. As a result, the demand curve for telephone services has become steeper over time. d. Consumers in a less developed country like Guatemala spend proportionately more of their income on equipment for producing things at home, like sewing machines, than consumers in a more developed country like Canada.

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