C(x) = 2x^3 – 4x^2 + 24,000x is the cost of manufacturing x items ,Suppose that

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he average cost per item is C(x) / x

(2x^3 – 4x^2 + 24000x) / x =>
2x^2 – 4x + 24000

A(x) = 2x^2 – 4x + 24000
A'(x) = 4x – 4
A'(x) = 0
0 = 4x – 4
0 = x – 1
x = 1

So, when x = 1, the average cost per item is at its lowest amount.

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