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28 April, 03:41

Suppose that c (x) = 3x^3-12x^2+9000x is the cost of manufacturing x items. Find a production level that will minimize the average cost of making x items.

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  1. 28 April, 03:57
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    C (x) = 3x² (3) - 12x² (2) + 9000x

    c (x) = 9x²-24x+9000

    9x² (2) - 24x+9000=0

    This can be factored to 3 (3x²-8x+3000)

    By not producing anything we constantly escalate our cost, there is no value for x.

    By using a rational expression x=4/3+i√2246/3 and x=4/3-i √2246/3
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