Solve the Problem $P ( x )$ For a Company Producing $x$

Multiple Choice

Solve the problem.
-The total profit function $P ( x )$ for a company producing $x$ thousand units is given by $P ( x ) = - 2 x ^ { 2 } + 30 x - 100$ . Find the values of $x$ for which the company makes a profit. [Hint: The company makes a profit when $\mathrm { P } ( \mathrm { x } ) > 0$ .]

A) $x$ is between 5 thousand units and 10 thousand units
B) $x$ is greater than 5 thousand units
C) $x$ is less than 10 thousand units
D) $x$ is less than 5 thousand units or greater than 10 thousand units