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2. (a) i. Show that if the price elasticity of demand is Q(P) = 4p1/2 then: P dQ dIn Q(P) Q(P) dP d In P

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2. (a) i. Show that if the price elasticity of demand is Q(P) = 4p1/2 then: P dQ dIn Q(P) Q(P) dP d In P (b) Functions of the form f(x) = ax have the same elasticity for any value of x (called constant elasticity). However, functions of other forms may have elasticities which depend on the value of x. Find the elasticity of the following: i. f(x) = -5x-2 ii. f (a) = 22 + 2x iii. f (ac) = (23 + 1) 10

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