Solve a Related Rates Problem.

A technical support contracting firm hires people to work from home using their proprietary support scripting system. The more employess they have, the more contracts they can support and therefore the more revenue they can generate. Suppose that the company's revenue and number of employees is related by

$R^2=297x^3$

where is $R$ is the revenue in thousands of USD and $x$ is the number of employees in hundreds. If there is no shortage of work to be done, the company currently has $3300$ employees, and the company wants to increase their revenue from $$3,267,000\mathrm{.}00$ this year to $$5,643,000\mathrm{.}00$ next year. how many new employees should be hired in order to make that possible?

The company should hire new employees before next year.