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The Average Cost of producing ' ' units of commodity is given by: Find the Cost function. Find the…

Mathematics20254 marksShort answer
The Average Cost of producing '$x$' units of commodity is given by: $AC = \frac{x}{200} + 30 + \frac{5000}{x}$
(a)[1.0]
Find the Cost function.
(b)[1.0]
Find the Marginal Cost function.
(c)[1.0]
Find the Marginal Average Cost function.
(d)[1.0]
Verify that $\frac{d}{dx}(AC) = \frac{MC - AC}{x}$

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Application of Calculus

From ISC 2025 Mathematics Paper 1, question 21(ii).