Assume that advertising shifts the demand curve for jeans to the right along the supply curve which pushes the jean price up by 125%. If the old equilibrium price of jeans is $8.76/pair and the old equilibrium quantity is 230 million pair, the elasticity of jean supply is 0.60 and the elasticity of demand is -0.766, what is the new equilibrium quantity demanded of jeans? What is the new equilibrium quantity supplied?
Elasticity of demand = % Change in quantity demanded / % Change in price
- 0.766 = % Change in quantity demanded / 125%
% Change in quantity demanded = 125% x (-0.766) = -95.75% (Quantity falls by 95.75%)
New quantity demanded (Millions) = 230 x (1 - 0.9575) = 230 x 0.0425 = 9.775
Elasticity of supply = % Change in quantity supplied / % Change in price
0.6 = % Change in quantity supplied / 125%
% Change in quantity supplied = 125% x 0.6) = 75% (Quantity rises by 75%)
New quantity supplied (Millions) = 230 x (1 + 0.75) = 230 x 1.75 = 402.5
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