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[3×2] Find the cost of increasing from 100 to 200 units if the marginal cost in Rupees per unit is…
[3×2]
(a)[2.0]
Find the cost of increasing from 100 to 200 units if the marginal cost in Rupees per unit is given by the function $MC = 0.003x^2 - 0.01x + 2.5$.
(b)[2.0]
If two lines of regression are $4x + 2y - 3 = 0$ and $3x + 6y + 5 = 0$, find the correlation coefficient between $x$ and $y$.
(c)[2.0]
The total variable cost of manufacturing $x$ units in a firm is ₹ $(3x + \frac{x^5}{25})$. Show that average variable cost increases with output $x$.
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From ISC 2018 Specimen Mathematics Paper 1, question 19.