Solve the problem
-The daily profit in dollars of a specialty cake shop is described by the function $P ( x ) = - 4 x ^ { 2 } + 208 x - 1920$, 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?
A) 2704 cakes
B) 26 cakes
C) $676 \mathrm { cakes }$
D) $52 \mathrm { cakes }$

Question

Quizplus · Accepted Answer

The vertex of a parabola given by $P(x) = ax^2 + bx + c$ can be found using the formula $x = -\frac{b}{2a}$. Here, $a = -4$ and $b = 208$, so $x = -\frac{208}{2(-4)} = 26$. This means 26 cakes should be prepared per day to maximize profit.

Solve the Problem -The Daily Profit in Dollars of a Specialty

Solve the Problem
-The Daily Profit in Dollars of a Specialty