Find the marginal revenue function. ​R(x)=x(29−0.03x)

Question

Find the marginal revenue function.

​R(x)=x(29−0.03x)

R′(x)= ______

Answer 1

R(x) = x(29-0.03x) = 29x - 0.03x^2

Marginal Revenue = R'(x) =29-0.06x

or you could calculate it directly from x(29-0.03x), R'(x) = derivative of 1st term (x) times derivative of 2nd term (29-0.03x) plus the 2nd timer times derivative of the 1st term = x(-0.03) + 29-0.03x = 29-0.06x

Marginal Revenue = the derivative of Revenue