Find the rate of the revunie given a function and a point:

Question

The monthly revenue function for a company is:

R(x) = 1000x(-0.25x^2+7.5x+18.75)

The revenue is in dollars, where x represents the number of thousands of products produced. This revenue model is valid for xe[0,32]. At what rate is the revenue changing when the company produces four thousand units of its product?

Answer 1

Determine the first derivative - use the product rule

Determine the value of the derivative at x = 4.