The average cost per hour in dollars of producing x riding lawn mowers is given by the following. C(x)=0.7x^2+25x-258+(2500/x).
(a) Use a graphing utility to determine the number of riding lawn mowers to produce in order to minimize average cost. (b) What is the minimum average cost?
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You have the following function:
Derivate implictly the previous expression, as follow:
Where you have used that:
Then, the implicit derivative of the given expression is:
Next, solve for y' as follow: