A manufacturer sells video games with the following cost and

A manufacturer sells video games with the following cost and revenue functions (in dollars), where x is the number of games sold. Determine the interval(s) on which the profit function is increasing. C(x) = 0.13x2-0.00004x3 R(x) = 0.994x2 - 0.0002x3 Select the correct choice below and fill in any answer boxes within your choice. The profit function is increasing on the interval(s) (Type your answer in interval notation. Use a comma to separate answers as needed.) The profit function is never increasing.

Solution

Profit=R-C=.864x^2-.00016 x^3 =dp/dx=1.728x-.00048x^2 this is increasing for x<3600