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[3×2] A company produces a commodity with ₹ 24,000 as fixed cost. The variable cost estimated to be…
[3×2]
(a)[2.0]
A company produces a commodity with ₹ 24,000 as fixed cost. The variable cost estimated to be 25% of the total revenue received on selling the product, is at the rate of ₹ 8 per unit. Find the break-even point.
(b)[2.0]
The total cost function for a production is given by $C(x) = \frac{3}{4}x^2 - 7x + 27$. Find the number of units produced for which M.C. = A.C. (M.C. = Marginal Cost and A.C. = Average Cost.)
(c)[2.0]
If $\bar{x} = 18$, $\bar{y} = 100$, $\sigma_x = 14$, $\sigma_y = 20$ and correlation coefficient $r_{xy} = 0.8$, find the regression equation of $y$ on $x$.
Answer
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From ISC 2019 Mathematics Paper 1, question 19.