PROBLEM: Suppose you are a painter, and the price of a gallon of paint increases from $3.00 a gallon to $3.50 a gallon. Your usage of paint drops from 35 gallons a month to 20 gallons a month. Perform the following: Compute the price elasticity of demand for paint and show your calculations. Decide whether the demand for paint is elastic, unitary elastic, or inelastic. Explain your reasoning and interpret your results.
Compute the price elasticity of demand for paint and show your calculations. In order to compute the price elasticity, I must use the following formula:
Ed=% Change in quantity demanded/% Change in price=(Q2-Q1)/Q1/(P2-P1)/P1=
P1 - Price before change
P2 - Price after change
Q1 - Quantity before change
Q2 - Quantity after change
Ed- Price elasticity of demand
Now I can enter in my values: E_d= (20-35)/35/(3.50-3.00)/3.00, E_d= (-15)/35/(.50)/3.00, E_d= -0.429/0.167, E_d= -2.569 So every month, the price elasticity of demand for paint is -$2.57.
Decide whether the demand for paint is elastic, unitary elastic, or inelastic. Based on the definitions above, it seems that the supply and demand of the paint varies significantly due to the price raising from $3.00 to $3.50 a gallon. So the demand for paint is Elastic.
Explain your reasoning and interpret your results. The demand
References: Elastic Definition. (2012). Retrieved February 13, 2012, from Investopedia ULC: http://www.investopedia.com/terms/e/elastic.asp#axzz1mCXH0ucW Inelastic Definition. (2012). Retrieved February 13, 2012, from Investopedia: http://www.investopedia.com/search/default.aspx?q=inelastic#axzz1mCXH0ucW Microeconomics- Price Elasticity of Demand. (2012). Retrieved February 13, 2012, from tutor2u.net: http://tutor2u.net/economics/revision-notes/as-markets-price-elasticity-of-demand.html Unitary Elasticity. (2012). Retrieved February 13, 2012, from BusinessDictionary.com: http://www.businessdictionary.com/definition/unitary-elasticity.html