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The cost function C(x) = 3x2 – 6x + 5. Find the average cost when x = 2. - Mathematics

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Question

The cost function C(x) = 3x2 – 6x + 5. Find the average cost when x = 2.

Sum

Solution

Cost function

C(x) = 3x2 – 6x + 5

∵ Average cost

A.C. = `(C(x))/x`

= `(3x^2 - 6x + 5)/x`

When x = 2

A.C. = `(3(2)^2 - 6 xx 2 + 5)/2`

= `(12 - 12 + 5)/2`

= `5/2`

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Application of Calculus in Commerce and Economics in the Average Cost
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