Question

The daily profit in dollars of a specialty cale shop is described by the function P(x)=-6x^2+288x-2592, where x is the number of cakes prepared in one day. The maximum profit for the company occurs at the vertex of the parabola. How many cakes should be prepared per day in order to maximize profit?

Answer 1

The x-coordinate of the vertex of the parabola ax^2 + bx + c is given by: -b/(2a)