Find the maximum profit that a company can make, if the profit function isgiven 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: Differentiate the Profit Function
We start by differentiating the profit function \( p(x) \) with respect to \( x \).

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