SOLUTION: The owner of a video store has determined that the cost C, in dollars, of operating the store is approximately given by C(x)=2x^2-32x+540, where x is the number of videos rented da

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: The owner of a video store has determined that the cost C, in dollars, of operating the store is approximately given by C(x)=2x^2-32x+540, where x is the number of videos rented da      Log On


   

Question 426564: The owner of a video store has determined that the cost C, in dollars, of operating the store is approximately given by C(x)=2x^2-32x+540, where x is the number of videos rented daily. Find the lowest cost to the nearest dollar."
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi

Using the vertex form of a parabola, y=a%28x-h%29%5E2+%2Bk where(h,k) is the vertex

C(x)=2x^2-32x+540   |Completing the square to find the vertex (parabola opens upward)

C(x)=2[(x-8)^2 - 64] +540

C(x)=2(x-8)^2 -128 +540

C(x)=2(x-8)^2 +412     |(8,412) the vertex point.  $412 the lowest cost.