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The quantity demanded of video game controllers increased from 1,800 to 1,900 when the price of video game consoles decreased from $300 to $275. What is the estimated cross-price elasticity of demand for video game controllers? Round your answer to the nearest hundredth. If elasticity is negative, make sure to include the "-" sign in your answer.

1 Answer

5 votes

Answer:

-0.67

Step-by-step explanation:

Given that,

Initial quantity demanded for video game controllers = 1,800 units

New quantity demanded for video game controllers = 1,900 units

Initial price of video game consoles = $300

New price of video game consoles = $275

Percentage change in quantity demanded for video game controllers:

= (Change in quantity demanded ÷ Initial quantity demanded) × 100

= (100 ÷ 1,800) × 100

= 5.56%

Percentage change in price of video game consoles:

= (Change in price ÷ Initial price) × 100

= (-25 ÷ 300) × 100

= -8.33%

Therefore, the estimated cross-price elasticity of demand for video game controllers is as follows:

= Percentage change in quantity demanded for video game controllers ÷ Percentage change in price of video game consoles

= 5.56 ÷ (-8.33%)

= -0.67

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