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Derivatives : Average Cost, Marginal Cost and Minimum Cost

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If it costs Acme Manufacturing C dollars per hour to operate its golf ball division, and an analyst has determined that C is related to the number of golf balls produced per hour, x, by the equation C = 0.009x squared - 1.8x + 100. What number of balls per hour should Acme produce to minimize the cost per hour of manufacturing these golf balls?

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Derivatives are used to find minimum cost. The solution is detailed and well presented. The response received a rating of "5" from the student who originally posted the question.

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C = 0.009x^2 - 1.8x + 100
The first order condition to minimize the cost is:
marginal cost = average ...

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