Question

The total profit (in dollars) from the sale of a espresso machines is P(x) = 160x - 0.85x^2 + 25.Evaluate the marginal profit at the following values to 4 decimal place accuracy if necessary:(A) P'(60) =(B) P'(65) =

Answer 1

We will have the following:

$\begin{gathered} P(x)=160x-0.85x^2+25 \\ \\ \Rightarrow P^{\prime}(x)=160-1.7x \end{gathered}$

So:

A) P'(60):

$P^{\prime}(60)=160-1.7(60)\Rightarrow P^{\prime}(60)=58$

B) P'(65):

$P^{\prime}(65)=160-1.7(65)\Rightarrow P^{\prime}(65)=49.5$