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Marginal Analysis

Let $R(x)$ be the revenue for a production $x$, $C(x)$ the cost, and $P(x)$ the profit. Then

P(x) = R(x)-C(x),

and the marginal profit for the $x_0$th unit is defined by

P'(x_0) = R'(x_0)-C'(x_0),

where $P'(x)$, $R'(x)$, and $C'(x)$ are the Derivatives of $P(x)$, $R(x)$, and $C(x)$, respectively.

See also Derivative

© 1996-9 Eric W. Weisstein