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[3×2] The selling price of a commodity is fixed at ₹ and its cost function is . (i) Determine the…

Mathematics20206 marksShort answer
[3×2]
(a)[2.0]
The selling price of a commodity is fixed at ₹ $60$ and its cost function is $C(x) = 35x + 250$. (i) Determine the profit function. (ii) Find the break even points.
(b)[2.0]
The revenue function is given by $R(x) = 100x - x^2 - x^3$. Find: (i) The demand function. (ii) Marginal revenue function.
(c)[2.0]
For the lines of regression $4x - 2y = 4$ and $2x - 3y + 6 = 0$, find the mean of ‘$x$’ and the mean of ‘$y$’.

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Application of Calculus

From ISC 2020 Mathematics Paper 1, question 19.