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Suppose the total cost function for manufacturing a certain product C(x) is given by the function below, where C (x) is measured in dollars and x represents the number of units produced. Find the level of production that will minimize the average cost. (Round your answer to the nearest whole number.)


? units

  • math -

    average cost = totalcost/number of units

    a(x) = C(x)/x
    = 0.2(0.01x + 133/x)

    minimum avg cost is where a'(x) = 0
    a'(x) = .02(.01 - 133/x^2)
    x = 10√133 = 115.3, so 115

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