Question #62010

1. The Brisbane Entertainment Centre is a performance venue, which hosts popular musicians from around the world. It has a maximum seating capacity of 13,500 people. In 2015, an artist priced their performance at a price of $50 per ticket and the show was completely sold out. The next year the same performer decided to increase the price to $100 per ticket but this time only 12,000 tickets were sold.
1. The point elasticity of demand at a price of $50 is 0.07% (rounded to two decimal places).
2. A 1% increase in the price of a ticket leads to a 0.11% (rounded to two decimal places) decrease in quantity demanded.
3. A 1% increase in price leads to a 0.07% (rounded to two decimal places) increase in quantity demanded.
Which of the above statements are true:

Only 1 is true.

Only 2 is true.

Both 1 and 2 are true.

Both 2 and 3 are true.

All three are true.

Expert's answer

Answer on Question #62010 - Economics - Microeconomics

1. The Brisbane Entertainment Centre is a performance venue, which hosts popular musicians from around the world. It has a maximum seating capacity of 13,500 people. In 2015, an artist priced their performance at a price of $50 per ticket and the show was completely sold out. The next year the same performer decided to increase the price to $100 per ticket but this time only 12,000 tickets were sold.

1. The point elasticity of demand at a price of $50 is 0.07% (rounded to two decimal places).

2. A 1% increase in the price of a ticket leads to a 0.11% (rounded to two decimal places) decrease in quantity demanded.

3. A 1% increase in price leads to a 0.07% (rounded to two decimal places) increase in quantity demanded.

Which of the above statements are true:

- Only 1 is true.

- Only 2 is true.

- Both 1 and 2 are true.

- Both 2 and 3 are true.

- All three are true.

Answer.

- Only 2 is true.

- Solution.

The point price elasticity of demand is calculated as


Kd=ΔQQ1ΔPP1K_d = \frac{\Delta Q}{Q1} \cdot \frac{\Delta P}{P1}Kd=13.51213.55010050=0.11K_d = \frac{13.5 - 12}{13.5} \cdot \frac{50 - 100}{50} = 0.11


As Kd=0.11, it means that a 1% increase in the price of a ticket leads to a 0.11% (rounded to two decimal places) decrease in quantity demanded.

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