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[3×2] Given the total cost function for units of a commodity as: . Find: (i) Marginal cost function…
[3×2]
(a)[2.0]
Given the total cost function for $x$ units of a commodity as:
$C(x) = \frac{1}{3}x^3 + 3x^2 - 16x + 2$.
Find:
(i) Marginal cost function
(ii) Average cost function
(b)[2.0]
Find the coefficient of correlation from the regression lines: $x - 2y + 3 = 0$ and $4x - 5y + 1 = 0$.
(c)[2.0]
The average cost function associated with producing and marketing $x$ units of an item is given by $AC = 2x - 11 + \frac{50}{x}$. Find the range of values of the output $x$, for which $AC$ is increasing.
Answer
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From ISC 2018 Mathematics Paper 1, question 19.