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A small bakery makes a profit P(c) P(c) P(c) in dollars from selling c c c cakes per day according to the formula P(c)=c(40−c)−80 P(c) = c(40 - c) - 80 P(c)=c(40−c)−80. Considering that PPP is a continuous function, how many cakes should the bakery sell per day to maximize its profit?

A small bakery makes a profit $P(c)$ in dollars from selling $c$ cakes per day according to the formula $P(c) = c(40 - c) - 80$ . Considering that $P$ is a continuous function, how many cakes should the bakery sell per day to maximize its profit?