Question

Danny "Dimes" Donahue is a neighborhood’s 9-year-old entrepreneur. His most recent venture is selling homemade brownies that he bakes himself. At a price of $2.75 each, he sells 100. At a price of $2.25 each, he sells 300. Instructions: Round your answer to 1 decimal place. a. What is the elasticity of demand? . b. Is demand elastic or inelastic over this price range? . c. If demand had the same elasticity for a price decline from $2.25 to $1.75 as it does for the decline from $2.75 to $2.25, would cutting the price from $2.25 to $1.75 increase or decrease Danny’s total revenue? .

Answer 1

Answer:

To calculate the elasticity of demand, we need to use mid point elasticity theory.

According to mid point theory,

Ed = [(Q2 - Q1) / {(Q1 + Q2) / 2}] / [(P2 - P1) / {(P1 + P2) / 2}]

Where, Ed = Elasticity o demand

Q1 = Initial quantity = 100

Q2 = New Quantity = 300

P1 = Initial price = $2.75

P2 = New price = $2.25

Ed = [(300 - 100) / {(100 + 300) / 2}] / [(2.25 - 2.75) / {(2.75 + 2.25) / 2}]

Ed = - 5.

a. So, the elasticity of demand is - 5 or in absolute term 5.

b. As the value of elasticity is more than 1, that means, the elasticty over the price range in elastic.

c. From theory, we knew that, when the demand is elastic, then a decrease in price causes a increase in total revenue. Because, as the demand elasticity is elastic, so the increase in output is higher than decrease in price.

Total revenue will increase