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In subparts (i) and (ii) choose the correct options and in subparts (iii) to (v), answer the…
In subparts (i) and (ii) choose the correct options and in subparts (iii) to (v), answer the questions as instructed.
(i)[1.0]
Which relation is correct for breakeven point where $R(X)$ is revenue function and $C(x)$ is cost function?
- (a)$R(X) > C(X)$
- (b)$R(X) < C(X)$
- (c)$R(X) = C(X)$
- (d)$R(X) = 2C(X)$
(ii)[1.0]
If correlation coefficient $r = 0$, then regression lines are
- (a)parallel to each other.
- (b)not mutually perpendicular.
- (c)parallel to coordinate axis.
- (d)overlapping lines.
(iii)[1.0]
Average revenue of a commodity is given by $AR(x) = a + \frac{b}{x}$. Find the demand function when marginal revenue is zero.
(iv)[1.0]
If $R(X) = 36x + 3x^2 + 5$ then find actual revenue from selling 50th item.
(v)[1.0]
For a given bi-variant distribution, the mean of variable $x = 4$ and the mean of variable $y = 6$. Find the point of intersection of two regression lines.
Answer
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From ISC 2023 Specimen Mathematics Paper 1, question 19.