SOLUTION: A menโ€™s suit manufacturer finds that the cost, in dollars, of producing suits is given by ๐ถ(๐‘ฅ)=853+14โˆš๐‘ฅ. Find the derivative of the average cost per item.

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Question 1184926: A menโ€™s suit manufacturer finds that the cost, in dollars, of producing suits is given by ๐ถ(๐‘ฅ)=853+14โˆš๐‘ฅ. Find the derivative of the average cost per item.
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
If the total cost is given by the function C%28x%29+=+853+%2B+14sqrt%28x%29 for manufacturing x suits, then average cost per item is given by
A%28x%29+=+%28853+%2B+14sqrt%28x%29%29%2Fx.

===> , by direct use of the quotient rule.

Note: You can also consider the same function A%28x%29+=+853%2Fx+%2B+14%2Fsqrt%28x%29%29 and then differentiating termwise.