Phillips Inc. finds that the demand function for E-Shave electric razors is f(p) = 10000 p + 10 50. That is, if the charge p dollars per E-Shave, then f(p) E-Shaves are sold each week.

(a) Find the elasticity function E(p) for Phillips E-Shave razors. Express your answer as a rational function of p.

(b) Currently E-Shave razors are priced at $40 each. If Phillips raises the price of E-razors by 1%, by what percentage, approximately, will the demand for E-Shave razors decrease?.

(c) Is the demand for E-Shave razors elastic, inelastic or unitary when p = 40?