What is the dollars per month after finding the rate?

Question

A company selling widgets has found that the number of items sold x depends upon the price pp at which they're sold, according the equation x=70000/√3p+1 (3p+1 is all cube rooted)

Due to inflation and increasing health benefit costs, the company has been increasing the price by $3 per month. Find the rate at which revenue is changing when the company is selling widgets at $130 each.

Answer 1

Rev = P*x = 70000p/(3p+1)^1/3

dR/dt = 70000(dp/dt)((3p+1)^1/3 - p(3p+1)^-2/3)/(3p+1)^2/3

Plug in p and dp/dt