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Suppose the price of movies seen at a theatre rises form Rs. 120 per person to Rs.200 per person. The theatre manager observed that the rise in prices has lead to a fall in attendance at a given movie from 300 persons to 200 persons. What is the price elasticity of demand for the movie? (arc elasticity)

  • a)
    0.8

  • b)
    0.5

  • c)
    1.00

  • d)
    1.2
Correct answer is 'B'. Can you explain this answer?
Verified Answer
Suppose the price of movies seen at a theatre rises form Rs. 120 per p...
Arc elasticity may be expressed as: [(Q1 - Q)/(Q1 + Q)] x [(P1 + P)/(P1 - P)]

Therefore,
[(300 - 200)/(300 + 200)] x [(200 + 120)/(200 - 120)]
= (100/500) x (320/80)

So, Arc elasticity = 4/5 = 0.8

(differences were large hence arc elasticity is used.)
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Most Upvoted Answer
Suppose the price of movies seen at a theatre rises form Rs. 120 per p...
Price Elasticity of Demand:

Price elasticity of demand measures the responsiveness of quantity demanded for a good or service to a change in its price. It is calculated as the percentage change in quantity demanded divided by the percentage change in price.

Formula:

Price Elasticity of Demand = (Percentage change in quantity demanded / Percentage change in price)

Given:

Initial price (P1) = Rs. 120
Final price (P2) = Rs. 200
Initial quantity demanded (Q1) = 300 persons
Final quantity demanded (Q2) = 200 persons

Calculation:

Percentage change in price = ((P2 - P1) / ((P1 + P2) / 2)) x 100
= ((200 - 120) / ((120 + 200) / 2)) x 100
= 40%

Percentage change in quantity demanded = ((Q2 - Q1) / ((Q1 + Q2) / 2)) x 100
= ((200 - 300) / ((300 + 200) / 2)) x 100
= -33.33%

Price Elasticity of Demand = (Percentage change in quantity demanded / Percentage change in price)
= (-33.33% / 40%)
= -0.833
(Note: the negative sign indicates that the demand is price inelastic)

Absolute value of Price Elasticity of Demand = 0.833

Therefore, the price elasticity of demand for the movie is 0.833 or 0.5 (rounded off to one decimal place), which means that the demand for the movie is price inelastic.
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Community Answer
Suppose the price of movies seen at a theatre rises form Rs. 120 per p...
Arc merhod use karo ans aa jayega
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Suppose the price of movies seen at a theatre rises form Rs. 120 per person to Rs.200 per person. The theatre manager observed that the rise in prices has lead to a fall in attendance at a given movie from 300 persons to 200 persons. What is the price elasticity of demand for the movie? (arc elasticity)a)0.8b)0.5c)1.00d)1.2Correct answer is 'B'. Can you explain this answer?
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