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