Here are some drills on price elasticities. For each demand function, find an expression for the price elasticity of demand. The answer will typically be a function of the price,p. As an example, consider the linear demand curve, D (p) = 30 − 6p. Then dD(p)/dp = −6 and p/q = p/(30−6p), so the price elasticity of demand is −6p/(30 − 6p).

(a) D(p) = 60 − p.

(b) D(p) = a − bp.

(c) D(p) = 40p^-2.

(d) D(p) = Ap^−b. 

(e) D(p) = (p + 3)^{− 2}.

(f) D(p) = (p+a)^−b