SOLUTION: the owner of a video store has determined the cost C, in dollars, of operating the store is approximately C(x):2x(squared)-30x+570, where x is the number of videos rented daily. Fi

Question 430206: the owner of a video store has determined the cost C, in dollars, of operating the store is approximately C(x):2x(squared)-30x+570, where x is the number of videos rented daily. Find the lowest cost to the nearest dollar.
Answer by ewatrrr(24785) (Show Source): You can put this solution on YOUR website!

 

Hi

C(x)= 2x^2-30x+570   Parabola opening upward

C(x)= 2[(x-7.5)^2 -56.25]+570   |Completing the square to find the Vertex

C(x)= 2(x-7.5)^2 -112.5 + 570 

C(x)= 2(x - 7.5)^2 + 457.50 

 Lowest cost is $457.50 or $458 to the nearest dollar

 (value OF C(7.5), the minimum point. 

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