Chapter 6, Problem 46RE

Revenue function. The weekly marginal revenue from the sale of x hair dryers is given by

$\begin{array}{cc}{R}^{\prime }\left(x\right)=65-6\text{ln}\left(x+1\right)& R\left(0\right)\end{array}=0$

where R(x) is the revenue in dollars. Find the revenue function and the production level (to the nearest unit) for a revenue of $20,000 per week. What is the weekly revenue (to the nearest dollar) at a production level of 1,000 hair dryers per week?