Solve.
-The owner of a video store has determined that the cost function, in dollars, of operating the store, is approximately given by $C ( x ) = 2 x ^ { 2 } - 24 x + 600$, where $x$ is the number of videos rented daily. Find the lowest cost to the nearest dollar.
A) $\$ 672$
B) $\$ 456$
C) $\$ 312$
D) $\$ 528$

Question

Quizplus · Accepted Answer

The cost function is a quadratic function, and its minimum value occurs at the vertex. The vertex $x$-coordinate is given by $-b/(2a)$. Here, $a = 2$ and $b = -24$, so $x = 6$. Substituting $x = 6$ into the cost function gives $C(6) = 2(6)^2 - 24(6) + 600 = 528$.

Solve -The Owner of a Video Store Has Determined That C(x)=2x2−24x+600C ( x ) = 2 x ^ { 2 } - 24 x + 600C(x)=2x2−24x+600

Solve
-The Owner of a Video Store Has Determined That $C ( x ) = 2 x ^ { 2 } - 24 x + 600$