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A movie theater company obtains the following estimated elasticity of demand.

The absolute value of the short run price elasticity of demand for movie tickets is 0.85.
The absolute value of of the long run price elasticity of demand for movie tickets is 3.2.
The cross price elasticity of demand for good X, another product sold by the theater, with respect to the price of movie tickets is - 0.26
The income elasticity of demand for movie tickets is 0.75.

Answer each of the following by referring to the given elasticities.

a. If the theater raises movie ticket prices by 10 percent, by what percentage and in what direction will the quantity demanded for movie tickets change in the short run?
b. Explain why the short-run price elasticity of demand for movie tickets differs from the long-run price elasticity of demand for movie tickets.
c. What will happen to total revenue from movie ticket sales in the long run if movie ticket prices increase? Explain using the relative percentage changes in price and quantity.
d. Are movie tickets a normal good or an inferior good? Explain. (e) Given the increase in the price of movie tickets in part (a), what would be the impact on the demand for good X? Use the appropriate graph for good X to illustrate your answer.

Respuesta :

Answer:

Explanation:

Given:

Short-run price elasticity = - 0.85

Long-run price elasticity = - 3.2

Cross-price elasticity = - 0.26

Income elasticity = 0.75

a. If the theater raises movie ticket prices by 10 percent it means that percentage of price change is 10%.

[tex]Elasticity = \frac{Percentage change in Quantity demanded}{Percentage change in price} \\\\-0.85 = \frac{Percent change in Quantity demanded\\}{10} \\\\Percent change in Quantity demanded = -0.85*10\\ \\ = -8.5[/tex]

Thus, quantity demanded falls by 8.5 percent.

b. Short-run price elasticity is different from long-run elasticity due to the time horizon. When individuals have more time they can switch to cheaper alternatives. While, it takes time to adjust in the short-run as the time horizon is not much. So short-run elasticity is less elastic than in the long-run.

c.

In the long-run demand for movie tickets is very elastic. So as price rises in the long-run, quantity demanded falls by a greater proportion. This will cause total revenue to fall in the long-run.

d. Normal goods are goods which have a positive income elasticity. This means for normal goods demand increases as income increases. But in case of inferior goods, demand is inversely related to income. As income rises demand for inferior goods decreases.

Since in this case, income elasticity is 0.75 (positive) it can be concluded that movie tickets are normal goods.

e. Good X is the related good to movie tickets. As cross price elasticity is -0.26 it means that as price of movie tickets rises by 1 percent demand for good X will fall by 0.26 percent.

Thus, as demand for good X and price of movie tickets are inversely related to each other it can be said that they are complementary goods.

If the price of movie tickets are increased by 10%, quantity demanded would increase by 8.5%.

b. The short run elasticity of demand differs from the long run elasticity of demand because in the short run there is limited time to search for suitable suitable alternatives for movies.

c. If the price of  movie tickets are increased revenue would decline because demand is elastic.

d. Movie tickets are a normal good. This is because its coefficient of elasticity is greater than zero.

e. If the price of  movie tickets are increased, the demand for good X would decline. This is because the two goods are complements.

What is the price elasticity of demand?

Price elasticity of demand measures the responsiveness of quantity demanded to changes in price of the good.

Price elasticity of demand = percentage change in quantity demanded / percentage change in price

If the absolute value of price elasticity is greater than one, it means demand is elastic. Elastic demand means that quantity demanded is sensitive to price changes.

Demand is inelastic if a small change in price has little or no effect on quantity demanded. The absolute value of elasticity would be less than one.

What are normal and inferior goods?

Normal goods are goods that are goods whose demand increases when income increases and falls when income falls. Inferior goods are goods whose demand falls when income rises and increases when income falls.

To learn more about price elasticity of demand, please check: https://brainly.com/question/18850846

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