# The profit (in dollars) from the sale of x lawn mowers is P(x) = 50x - 0.05x^2 - 450. How to find the marginal average profit at a production level of 20 mowers?

Feb 12, 2017

see below.

#### Explanation:

Answer A is an interpretation of $P ' \left(20\right)$ (Marginal Profit)

Answer B is an interpretation of $\overline{P} ' \left(20\right)$ (Marginal Average Profit)

Answer C is an interpretation of $\overline{P} \left(20\right)$ (Average Profit)

Calculate:

$P ' \left(20\right) = 48$, so A is not correct

$\overline{P} ' \left(20\right) = 1.075$ so B is approximately correct.

By the way, $\overline{P} \left(20\right) = 26.5$, so C is not correct.