Differentiation of Logarithmic Functions

Question

The demand function for a certain boat company's 34 ft Sundancer yacht is

p = 900 − 0.01x ln(x)

where x denotes the number of yachts and p is the price per yacht in hundreds of dollars.

A.Find the revenue function R(x) and the marginal revenue function R'(x) for this model of yacht.

R(x)=

R'(x)=

(B) Use the result of part (a) to estimate the revenue to be realized from the sale of the 250^th 34 ft Sundancer yacht. (Round your answer to the nearest dollar.)

Answer 1

To start, variable p, the demand, is also the price each is sold for, and x is the number of products sold. Since revenue is (price each)*(number sold), you can find R(x) = ??