Question

PLEASE HELP!!! (question is in image)

Answer 1

Step-by-step explanation:

We can find the maximum profit by taking the derivative of the profit and then solving for the widget price x that will maximize it. It is done by equating the derivative to zero:

$\dfrac{dy}{dx} = -12x + 600 = 0$

Solving for x, we get

$x = \dfrac{600}{12} = \ 50$

By setting the widget price to $50, the company can maximize their profits. To find this maximum profit, substitute the value of x into the equation for the profit:

$y = -6(50)^2 + 600(50) - 5726$

$\;\;\;=\ 9,274$