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)-24x+720, where x is the number of videos rented daily. Find the lowest cost to the nearest dollar.
1 answer:
Answer:
Step-by-step explanation:
C(x)=2x^(2)-24x+720
Slope = 
Differentiating to get the slope;
= 4x - 24
Lowest cost is when the slope is zero, therfore ;
⇒ 4x-24 = 0
⇒ x = 6
substituting for x
c(6) =
-24(6)+720 = 648
Lowest cost is $648
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