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The cost function C(x)C(x)C(x) and the selling price of each article, p(x)p(x)p(x) are given below. Determine the profit function P(x)P(x)P(x).C(x)=−0.03x2+70x+75C(x)=-0.03x^2+70x+75C(x)=−0.03x2+70x+75p(x)=80−0.02xp(x) = 80 - 0.02xp(x)=80−0.02x

The cost function $C(x)$ and the selling price of each article, $p(x)$ are given below. Determine the profit function $P(x)$ .
$C(x)=-0.03x^2+70x+75$
$p(x) = 80 - 0.02x$