Answer:
Elasticity of supply for dog food = 0.95
Explanation:
From the question, we have:
New quantity supplied of dog food = 107.0
Old quantity supplied of dog food = Initial equilibrium quantity = 21.0
New price = $8.75
Old price = Initial equilibrium price = $1.50
Generally, the formula for calculating the elasticity of supply is as
follows:
Elasticity of supply = Percentage change in quantity supplied / Percentage change in price ................ (1)
Where, based on the midpoint formula, we have:
Percentage change in quantity supplied of dog food = {(New quantity supplied of dog food - Old quantity supplied of dog food) / [(New quantity supplied of dog food + Old quantity supplied of dog food) / 2]} * 100 = {(107.0 - 21.0) / [(107.0 + 21.0) / 2]} * 100 = 134.375%
Percentage change in price = {(New price - Old price) / [(New price + Old price) / 2]} * 100 = {(8.75 - 1.50) / [(8.75 + 1.50) / 2]} * 100 = 141.463414634146%
Substituting the values into equation (1), we have:
Elasticity of supply for dog food = 134.375% / 141.463414634146% = 0.94989224137931
Approximated to 2 decimal places, we have:
Elasticity of supply for dog food = 0.95
