Question

a monopolist's demand curve is given by p=100-2q.find his marginal revenue function?

Answer 1

p = 100 - 2q
r = p.q = (100-2q)q = 100q - 2q²

Marginal revenue = $\frac{dr}{dq}$

MR = $\frac{d}{dq}(100q-2q^2)=100-4q$

Marginal revenue is 100 - 4q