Solve the problem.
-The owner of a video store has determined that the cost $C$, in dollars, of operating the store is approximately given by $C ( x ) = 2 x ^ { 2 } - 32 x + 730$, where $x$ is the number of videos rented daily. Find the lowest cost to the nearest dollar.
A) $\$ 602$
B) $\$ 218$
C) $\$ 474$
D) $\$ 858$

Question

Quizplus · Accepted Answer

The lowest cost occurs at the vertex of the parabola represented by the given quadratic equation. The x-coordinate of the vertex is given by $-\frac{b}{2a}$, where $a = 2$ and $b = -32$. Thus, $x = -\frac{-32}{2*2} = 8$. Substituting $x = 8$ into the equation gives $C(8) = 2(8)^2 - 32(8) + 730 = 602$.

Solve the Problem CCC , in Dollars, of Operating the Store Is Approximately Given

Solve the Problem $C$ , in Dollars, of Operating the Store Is Approximately Given