If the demand for drive-in movies is more elastic for couples than for single individuals, it will be optimal for theaters to charge one admission fee for the driver of the car and an extra fee for passengers. True or false? Explain.

Short Answer

Expert verified
True. Given the higher elasticity for couples, it's financially advantageous for theaters to charge a base fee for the driver and an extra fee for passengers. This approach ensures a more equitable division of price, discouraging no one due to high prices while also generating extra income.

Step by step solution

01

Understand Elasticity

Price elasticity of demand measures how much the quantity demanded of a good responds to a change in the price of that good. It's said to be elastic when a small change in price leads to a large change in quantity demanded, and inelastic when a small change in price leads to a small change in quantity demanded.
02

Contextualize Elasticity in the Scenario

In this scenario, we're told that the demand for drive-in movies is more elastic for couples than for single individuals. This means that couples are more likely to reduce their demand if there is a price increase; they're more responsive to changes in price compared to single individuals.
03

Analyzing Optimal Pricing Strategy

Given that couples are more responsive to changes in price (their demand is more elastic), theaters could optimize their pricing by charging one admission fee for the driver and an extra fee for passengers. This way, they don't deter couples from coming, due to a higher overall price for two, but still manage to generate extra income from the passenger fee. In this case, people who come in couples will still come but will pay slightly more, leading to increased revenue for the theaters.

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Key Concepts

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

Elastic and Inelastic Demand
Understanding the difference between elastic and inelastic demand is crucial for both consumers and businesses. Elastic demand occurs when consumers are highly sensitive to price changes. In simpler terms, if the price of a movie ticket increases by a small percentage, and a couple decides to stop going to the drive-in theater, then their demand is elastic. On the contrary, inelastic demand is where consumers are less sensitive to price changes; for instance, if a single person continues to attend even after a ticket price hike, their demand is inelastic.

Factors that influence demand elasticity include the availability of substitutes, the portion of a person’s budget spent on the good, and the time frame for purchase decision. For drive-in movies, couples may have alternative date options like dining out or streaming a movie at home, leading to more elastic demand. It's essential for businesses to identify if their product or service has elastic or inelastic demand as this insight drives critical pricing and marketing strategies.
Optimal Pricing Strategy
Crafting an optimal pricing strategy requires a deep understanding of how different groups of consumers react to price changes. For a drive-in theater, price sensitivity varies between couples and single attendees. Identifying this variance allows the theater to implement a pricing structure that maximizes profitability without losing customers. Charging a flat fee for the driver (a single individual, presumably with inelastic demand) and an additional fee for passengers (couples with elastic demand) is an example of price discrimination.

This strategy allows the theater to attract both customer groups effectively. They avoid raising prices too much for couples, which could lead to a significant drop in attendance, while still generating additional revenue from passengers. It's a balance between maintaining a customer base and increasing revenue, and it hinges on correctly assessing the elasticity of demand for different market segments.
Quantity Demanded
The concept of quantity demanded refers to the total amount of a good or service that consumers are willing and able to purchase at a given price over a specified period. It is inversely related to price for most goods—when prices rise, quantity demanded usually falls, and vice versa. This relationship is depicted on the demand curve, which is typically downward sloping.

In our drive-in movie case, the quantity demanded by couples is sensitive to price changes, and hence their attendance can significantly fluctuate with varying prices. A theater's revenue is dependent on the number of attendees (quantity demanded), so understanding the factors that influence this number is vital for setting up ticket prices that won't discourage attendance. By pricing intelligently, the theater ensures that each car coming through the gates represents maximized potential revenue while keeping the number of cars steady or increasing.

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Most popular questions from this chapter

Consider a firm with monopoly power that faces the demand curve $$P=100-3 Q+4 A^{1 / 2}$$ and has the total cost function $$C=4 Q^{2}+10 Q+A$$ where \(A\) is the level of advertising expenditures, and \(P\) and \(Q\) are price and output. a. Find the values of \(A, Q,\) and \(P\) that maximize the firm's profit. b. Calculate the Lerner index, \(L=(P-M C) / P\), for this firm at its profit- maximizing levels of \(A, Q,\) and \(P\)

You are an executive for Super Computer, Inc. (SC), which rents out super computers. SC receives a fixed rental payment per time period in exchange for the right to unlimited computing at a rate of \(P\) cents per second. SC has two types of potential customers of equal number -10 businesses and 10 academic institutions. Each business customer has the demand function \(Q=10-P,\) where \(Q\) is in millions of seconds per month; each academic institution has the demand \(Q=8-P .\) The marginal cost to SC of additional computing is 2 cents per second, regardless of volume. a. Suppose that you could separate business and academic customers. What rental fee and usage fee would you charge each group? What would be your profits? b. Suppose you were unable to keep the two types of customers separate and charged a zero rental fee. What usage fee would maximize your profits? What would be your profits? c. Suppose you set up one two-part tariff- -that is, you set one rental and one usage fee that both business and academic customers pay. What usage and rental fees would you set? What would be your profits? Explain why price would not be equal to marginal cost.

As the owner of the only tennis club in an isolated wealthy community, you must decide on membership dues and fees for court time. There are two types of tennis players. "Serious" players have demand $$Q_{1}=10-P$$ where \(Q_{1}\) is court hours per week and \(P\) is the fee per hour for each individual player. There are also "occasional" players with demand $$Q_{2}=4-0.25 P$$Assume that there are 1000 players of each type. Because you have plenty of courts, the marginal cost of court time is zero. You have fixed costs of \(\$ 10,000\) per week. Serious and occasional players look alike, so you must charge them the same prices. a. Suppose that to maintain a "professional" atmosphere, you want to limit membership to serious players. How should you set the annual membership dues and court fees (assume 52 weeks per year) to maximize profits, keeping in mind the constraint that only serious players choose to join? What would profits be (per week)? b. A friend tells you that you could make greater profits by encouraging both types of players to join. Is your friend right? What annual dues and court fees would maximize weekly profits? What would these profits be? c. Suppose that over the years, young, upwardly mobile professionals move to your community, all of whom are serious players. You believe there are now 3000 serious players and 1000 occasional players. Would it still be profitable to cater to the occasional player? What would be the profitmaximizing annual dues and court fees? What would profits be per week?

A monopolist is deciding how to allocate output between two geographically separated markets (East Coast and Midwest). Demand and marginal revenue for the two markets are $$\begin{array}{ll} P_{1}=15-Q_{1} & \mathrm{MR}_{1}=15-2 Q_{1} \\\P_{2}=25-2 Q_{2} & \mathrm{MR}_{2}=25-4 Q_{2}\end{array}$$ The monopolist's total cost is \(C=5+3\left(Q_{1}+Q_{2}\right)\) What are price, output, profits, marginal revenues, and deadweight loss (i) if the monopolist can price discriminate? (ii) if the law prohibits charging different prices in the two regions?

Elizabeth Airlines (EA) flies only one route: ChicagoHonolulu. The demand for each flight is \(Q=500-P\) EA's cost of running each flight is \(\$ 30,000\) plus \(\$ 100\) per passenger. a. What is the profit-maximizing price that EA will charge? How many people will be on each flight? What is EA's profit for each flight? b. EA learns that the fixed costs per flight are in fact \(\$ 41,000\) instead of \(\$ 30,000 .\) Will the airline stay in business for long? Illustrate your answer using a graph of the demand curve that EA faces, EA's average cost curve when fixed costs are \(\$ 30,000,\) and \(\mathrm{EA}^{\prime}\) s average cost curve when fixed costs are \(\$ 41,000\) c. Wait! EA finds out that two different types of people fly to Honolulu. Type \(A\) consists of business people with a demand of \(Q_{A}=260-0.4 P\). Type \(B\) consists of students whose total demand is \(Q_{B}=240-0.6 P\) Because the students are easy to spot, EA decides to charge them different prices. Graph each of these demand curves and their horizontal sum. What price does EA charge the students? What price does it charge other customers? How many of each type are on each flight? d. What would EA's profit be for each flight? Would the airline stay in business? Calculate the consumer surplus of each consumer group. What is the total consumer surplus? e. Before EA started price discriminating, how much consumer surplus was the Type \(A\) demand getting from air travel to Honolulu? Type \(B\) ? Why did total consumer surplus decline with price discrimination, even though total quantity sold remained unchanged?

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