What is the quantity q at which the profit function given by 240q - 4q² is maximized? A)30 B)40 C)50 D)60 E)70

Question

Quizplus · Accepted Answer

To maximize profit, we differentiate the profit function with respect to q and set the derivative equal to zero. The profit function is $240q - 4q^2$. Differentiating with respect to q gives $240 - 8q$. Setting this equal to zero gives $240 - 8q = 0$, which simplifies to $8q = 240$, and solving for q gives $q = 30$.

What Is the Quantity Q at Which the Profit Function