Calculus help

Question

Let Q(p) be the demand function for a certain product, where p is price. If R is a function of p for the total revenue, dR/dp=MR is the marginal revenue.

 

MR = ?

Answer 1

Revenue = (price)(quantity)

 

So, R(p) = pQ(p)

 

Marginal Revenue = dR/dp = (1)(Q(p) + p(dQ/dp)

 

                                       = Q(p) + p(dQ/dp)