Suppose that c (x )equals 4 x cubed minus 16 x squared plus 12 comma 000 x is the cost of manufacturing x items. Find a production level that will minimize the average cost of making x items.

Therefore the number of product is 11.42 to minimize the average cost .

Step-by-step explanation:

Given that,

where C(x) is cost of manufacturing of x items.

Differentiating with respect to x

Again differentiating with respect to x

To find the minimum cost, we set C'(x)=0

    [ since 4≠0]

Applying quadratic formula , here a= 3, b= -8, c=-300

      =11.42, -8.76

The number of item is negative, it can't make sense.

∴x=11.42

Now

Therefore when x= 11.42, the cost of manufacturing will minimum.

Therefore the number of product is 11.42 to minimize the average cost .

351.23

step-by-step explanation:

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step-by-step explanation: