Kevin O’Leary suggests that Jenn and Kelley decrease the price of their product by 50% and sell 10 times as many. That is, he predicts if they drop the price of their product from $40 to $20 they will increase their quantity demanded from 6,000 to 60,000. Calculate the price elasticity of demand for Pursecases using the midpoint formula from this information

The price elasticity of demand for Pursecases using the midpoint formula from this information is -2.45.

Explanation:

From the question, we have:

New quantity demanded = 60,000

Old quantity demanded = 6,000

New price = $20

Old price = $40

The formula for calculating the price elasticity of demand is as follows:

Price elasticity of demand = Percentage change in quantity demanded /

Percentage change in price (1)

Where, based on the midpoint formula, we have:

Percentage change in quantity demanded = {(New quantity demanded - Old

quantity demanded) / [(New quantity demanded + Old quantity demanded) /

2]} * 100 = {(60,000 - 6,000) / [(60,000 + 6,000) / 2]} * 100 = 163.636363636364%

Percentage change in price = {(New price - Old price) / [(New price + Old

price) / 2]} * 100 = {(20 - 40) / [(20 + 40) / 2]} * 100 = -66.6666666666667%

Substituting the values into equation (1), we have:

Price elasticity of demand = 163.636363636364% / -66.6666666666667% = -2.45454545454546

Rounding to 2 decimal places, we have:

Price elasticity of demand = -2.45

Therefore, the price elasticity of demand for Pursecases using the midpoint formula from this information is -2.45.