Question

Suppose that a company's profit (in terms of q, the number of units sold) is given by the modelP= – 3q2 + 295q – 720. Find the profit when 54 units are sold.Answer: P-dollars.

Answer 1

In order to calculate the profit when 54 units are sold, we can use the value of q = 54 in the equation and calculate the value of P.

So we have:

$\begin{gathered} P=-3\cdot(54)^2+295\cdot(54)-720 \\ P=-3\cdot2916+15930-720 \\ P=-8748+15930-720 \\ P=6462 \end{gathered}$

Therefore the profit is P = $6,462 dollars.