: Calculate the price elasticity of demand for the following demand functions:
(a) Q = 5 – ln(P) for P=8
(b) Q = 2000 – 0.5P^3 for P=15 (0.5 multiplied by p cubed)
(c) Q = (12-P)^2 (12-P)squared
for P=10
(d) P= 2/Q for P=1