Find the maximum profit that a company can make, if the profit function is given by `p(x)=41-24 x-18 x^2`

Explanation

To find the maximum profit that a company can make given the profit function \( p(x) = 41 - 24x - 18x^2 \), we will follow these steps:

### Step 1: Find the derivative of the profit function
To find the maximum profit, we first need to find the critical points by taking the derivative of the profit function and setting it to zero.

\[ p'(x) = \frac{d}{dx}(41 - 24x - 18x^2) \]
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