Find All Numbers That Satisfy the Following $\mathrm { P } ( \mathrm { x } )$

Multiple Choice

Find all numbers that satisfy the following.
-The total profit function $\mathrm { P } ( \mathrm { x } )$ for a company producing $x$ thousand units is given by $P ( x ) = - 3 x ^ { 2 } + 45 x - 162$ . 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 greater than 6 thousand units
B) $x$ is less than 9 thousand units
C) $x$ is between 6 thousand units and 9 thousand units
D) $x$ is less than 6 thousand units or greater than 9 thousand units