Problem 3 3\. Suppose that the amusement p... [FREE SOLUTION]

Chapter 26: Problem 3

3\. Suppose that the amusement park owner can practice perfect first-degree price discrimination by charging a different price for each ride. Assume that all rides have zero marginal cost and all consumers have the same tastes. Will the monopolist do better charging for rides and setting a zero price for admission, or better by charging for admission and setting a zero price for rides?

Short Answer

Expert verified

The monopolist will do better by charging for rides and setting a zero price for admission.

Step by step solution

Understanding First-Degree Price Discrimination

First-degree price discrimination, also known as perfect price discrimination, occurs when a seller charges each consumer their maximum willingness to pay for a good or service. This means the seller captures all the consumer surplus, converting it entirely into profit.

Analyzing Zero Marginal Cost

Given that all rides have zero marginal cost, the cost to the monopolist for providing additional rides is zero. This aspect allows the monopolist to consider pricing strategies purely from a perspective of maximizing profit without concerning themselves with variable costs.

Assessing Charge for Rides and Free Admission

If the owner charges for each ride, they can set different prices per ride for each consumer according to their willingness to pay, thus maximizing revenue from rides. With free admission, more consumers might visit the park.

Considering Charge for Admission and Free Rides

Setting a charge for admission means setting a single price that maximizes revenue without knowing individual consumer surplus. Free rides might attract a fixed number of individuals, but it doesn't allow capturing maximum possible revenue from rides with varying consumer preferences.

Comparing Both Scenarios

By charging for rides with zero marginal cost, the monopolist captures the entire consumer surplus from each ride. When charging for admission, they only capture the consumer surplus for entry, which is limited by the single price set for all. Thus, charging individual prices per ride likely results in higher total revenue.

Conclusion

With perfect price discrimination, the monopolist will do better by charging for each ride (where they can perfectly price discriminate) and setting a zero price for admission, allowing them to capture all consumer surplus for maximal profit.

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Key Concepts

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

First-Degree Price Discrimination

First-degree price discrimination, often called perfect price discrimination, is an intriguing strategy. It involves setting the price for a product at the exact level each consumer is willing to pay. This way, the seller can capture all the potential profit from each transaction, converting consumer surplus into additional revenue.
This technique requires a deep understanding of each consumer's willingness to pay, which can be challenging to gauge. However, if executed successfully, it allows the seller to optimize their returns perfectly.

The seller charges different prices for the same product based on individual consumer differences.
This maximizes the seller's revenue potential by capturing all the consumer surplus.

In the context of the amusement park, charging different prices for each ride is a perfect example of first-degree price discrimination.

Consumer Surplus

Consumer surplus is the difference between what consumers are willing to pay for a good or service and what they actually pay. It represents the extra benefit or utility that consumers receive.
When a seller captures this surplus, they effectively increase their own profit margins. In scenarios where first-degree price discrimination is practiced, such as an amusement park charging different prices for rides, the consumer surplus is entirely captured by the seller.

Consumers often benefit from purchasing goods for less than the maximum they would be willing to pay.
First-degree price discrimination attempts to eliminate consumer surplus by charging different prices.

By understanding consumer surplus, businesses can tailor pricing strategies to maximize profitability.

Marginal Cost

Marginal cost represents the cost of producing one additional unit of a good or service. In many business scenarios, understanding and controlling this cost is crucial for pricing and profit strategies.
For the amusement park, the interesting aspect is that each additional ride comes at a zero marginal cost. This means that once the rides and infrastructure are set up, it does not cost anything extra to provide more rides.

Zero marginal cost is unique and allows for innovative pricing strategies like first-degree price discrimination.
Businesses often strive to lower marginal costs to enhance profitability.

Understanding marginal cost is key to grasping why charging based on consumers' willingness to pay (instead of a fixed price) can be more profitable.

Monopoly Pricing

Monopoly pricing occurs when a single seller dominates the market and sets prices without competition. In this situation, the monopolist usually sets prices higher than in competitive markets.
However, with first-degree price discrimination, monopoly pricing becomes more nuanced. The focus shifts from setting a single higher price to customizing prices based on individual consumer demand.

Monopolists are in a unique position to exploit customer willingness to pay.
They must balance maximizing revenue with ensuring that demand remains sufficient.

In the amusement park scenario, by customizing ride prices, the park can better exploit its monopoly power to increase revenue more than setting a uniform price for admission.

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