Question

monopolists demand curve p=100-2q.
(a) marginal revenue function

Answer 1

Demand curve, p = 100 - 2q
revenue, r = p.q = (100-2q)×q = 100q - 2q²

marginal revenue = $\frac{dr}{dq}= \frac{d}{dq}(100q-2q^2)=100-4q$

So marginal revenue function is (100 - 4q).

Answer 2

Demand curve, p = 100 - 2q
revenue, r = p.q = (100-2q)×q = 100q - 2q²

marginal revenue = 

So marginal revenue function is (100 - 4q).