Asked by Trap muzik Blossom on May 28, 2024

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When the price of good A is $50, the quantity demanded of good A is 500 units. When the price of good A rises to $70, the quantity demanded of good A falls to 400 units. Using the midpoint method, the price elasticity of demand for good A is

A) 1.50, and an increase in price will result in an increase in total revenue for good A.
B) 1.50, and an increase in price will result in a decrease in total revenue for good A.
C) 0.67, and an increase in price will result in an increase in total revenue for good A.
D) 0.67, and an increase in price will result in a decrease in total revenue for good A.

Midpoint Method

A technique used in economics to calculate the percentage change in variables, offering a more precise measure of elasticity between two points.

Price Elasticity

A measure of how much the quantity demanded or supplied of a good changes in response to a change in price.

Total Revenue

The total income received by a firm from selling its goods or services.

  • Gain familiarity with the principle of price elasticity of demand and the approaches to calculate it.
  • Elucidate the relationship between price elasticity and total revenue generation.
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JP
Jinal PatelJun 01, 2024
Final Answer :
C
Explanation :
The price elasticity of demand using the midpoint method is calculated as: [(Q2 - Q1) / ((Q2 + Q1)/2)] / [(P2 - P1) / ((P2 + P1)/2)], where Q1 and Q2 are the initial and final quantities demanded, and P1 and P2 are the initial and final prices. Substituting the given values: [(400 - 500) / ((400 + 500)/2)] / [($70 - $50) / (($70 + $50)/2)] = -100 / 450 / 20 / 60 = -0.67. A price elasticity of demand less than 1 in absolute value (0.67) indicates that the demand is inelastic, meaning that the percentage change in quantity demanded is less than the percentage change in price. Therefore, an increase in price will result in an increase in total revenue for good A.