To find the profit function \( P(x) \) of the company, we use the formula:
\[
P(x) = R(x) - C(x)
\]
where \( R(x) \) is the revenue function and \( C(x) \) is the cost function.
Given:
\[
R(x) = 6x^2 + 100x + 300
\]
\[
C(x) = 25x + 100
\]
Now, we can substitute \( R(x) \) and \( C(x) \) into the profit function formula:
\[
P(x) = (6x^2 + 100x + 300) - (25x + 100)
\]
Simplifying this, we distribute the negative sign across \( C(x)


