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The cost function of producing ' ' quantities of a product is given by . If each unit of the…

Mathematics20254 marksShort answer
The cost function $C(x)$ of producing '$x$' quantities of a product is given by $C(x) = 500x^2 + 2500x + 5000$. If each unit of the product is sold at ₹ 6000 then, calculate
(a)[2.0]
Break-even point
(b)[2.0]
Marginal cost and show that the marginal cost increases as the output '$x$' increases.

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Application of Calculus

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