The total cost and the total revenue (in dollars) for the production and sale of x headphones is given by $C(x) = 5x + 2,340$ and $R(x) = 40x - 0.1x^2$, $0 \le x \le 400$. Find the value of x that maximizes the profit.
(Hint: Profit = Revenue - Cost)
The number of headphones produced that maximizes the profit is
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