In: Economics
Andy loves Krispy Kreme donuts, but realizes that the price of a glaze donut increased from $1.20 to $1.50. However, he see’s an ad from Dunkin Donuts advertising a sale price of its glaze donut from $1.10 to $0.99. He plans to purchase an additional donut from Dunkin Donuts from 2 to 3. What is the Dunkin Donuts price elasticity of demand? What is the Krispy Kreme price elasticity of demand? What is the cross price elasticity of demand for a Krispy Kreme Donut?
1) Price elasticity of demand of Dunkin Donuts:
The formula for price elasticity, n
n= (Q1 - Q0) ÷ (Q1 + Q0) / (P1 -P0) ÷ (P1 + P0)
where,
Q0= Initial quantity demand = 2
Q1= New quantity demand =3
P0 = Initial price =$1.10
P1= Initial Price =$ 0.99
n= (Q1 - Q0) ÷ (Q1 + Q0) / (P1 -P0) ÷ (P1 + P0)
= (3-2)÷(3+2) / (0.99-1.10)÷(0.99+1.10)
= -3.8
Price elasticity of demand is -3.8
2) Price elasticity of demand of Krispy Kreme Donuts:
n= (Q1 - Q0) ÷ (Q1 + Q0) / (P1 -P0) ÷ (P1 + P0)
= (2-3)÷(2+3) / (1.20-1.50)÷(1.20+1.50)
= -1.8
Price elasticity of demand is -1.8
3) Cross price elasticity of demand for a Krispy Kreme Donut.
Cross price elasticity =
=(Change in quantity demanded ÷ Original quantity demanded )/ (Change in price of other product ÷ Original price of the product)
=(-1)÷(3)/(-0.3 )÷ 1.20)
=1.33
Since the cross price elasticity is positive, both the product are substitute products.