1) Given the demand curve for a commodity as Q = 60 - 3P where Q is the quantity demanded and P the price per unit, determine the price elasticity of demand at P = 10.
2) The demand curve for a commodity X is given by Q_X=16 P_X^(-4) where Q_X is the quantity demanded and P_X is the price. What is the price elasticity of demand at P_X = 2 and Q_X = 1.
3) Derive an equation to calculate the income elasticity of demand at any point on the following function: Q = 40 -〖 Y〗^(-3/2) where Q is the quantity demanded and Y is the consumer’s income in Gh₵ ‘000.
4) The demand equation for a consumer is given by Q = 1/P^α . Show that price elasticity of demand is α
1)
"E=-3\\times \\frac{10}{30}=-1"
2)
"E=-2\\times \\frac{2}{1}=-4"
3)
"E=\\frac{3}{2}y^{-\\frac{5}{2}}\\times \\frac{y}{40-y^{-\\frac{3}{2}}}"
"E=\\frac {3y^{-\\frac{3}{2}}}{80-2y^{-\\frac{3}{2}}}"
4)
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