Solve the problem.
-The owner of a video store has determined that the cost $\mathrm { C }$, in dollars, of operating the store is approximately given by $C ( x ) = 2 x ^ { 2 } - 32 x + 790$, where $x$ is the number of videos rented daily. Find the lowest cost to the nearest dollar.
A) $\$ 278$
B) $\$ 662$
C) $\$ 534$
D) $\$ 918$

Question

Quizplus · Accepted Answer

The lowest cost occurs at the vertex of the parabola represented by the quadratic function. The vertex $x$ value is found using $-b/(2a)$. Here, $a = 2$ and $b = -32$, so $x = 8$. Substituting $x = 8$ into the function gives $C(8) = 2(8)^2 - 32(8) + 790 = 662$.

Solve the Problem C\mathrm { C }C , in Dollars, of Operating the Store Is Approximately Given

Solve the Problem $\mathrm { C }$ , in Dollars, of Operating the Store Is Approximately Given