SOLUTION: 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)= 2x^2 -26x+770 where x is the num

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Question 765270: 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)= 2x^2 -26x+770 where x is the number of videos rented daily. Find the lowest cost to the nearest dollar.
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
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)= 2x^2 -26x+770 where x is the number of videos rented daily. Find the lowest cost to the nearest dollar.
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c(x)= 2x^2 -26x+770
This is an equation of a parabola that opens upward (function has a minimum)
Its standard form of equation: y=A%28x-h%29%5E2%2Bk, k=minimum value
complete the square:
c(x)= 2(x^2 -13x+169/4)-169/2+770
c(x)=2(x-13/2)^2+685.5
lowest cost=$686