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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 condition is true if Average Cost (AC) is constant at all levels of out put [Recall]
- (a)MC > AC
- (b)MC = AC
- (c)MC < AC
- (d)MC = $\frac{1}{2}$ AC
(ii)[1.0]
Read the following statements and choose the correct option:
(I) If r = 0, then regression lines are not defined.
(II) If r = 0, then regression lines are parallel.
(III) If r = 0, then regression lines are perpendicular.
(IV) If r = ±1, then regression lines coincide. [Recall]
Which of the following is correct?
- (a)Only IV is correct
- (b)Only I and II are correct
- (c)Only I and IV are correct
- (d)Only III and IV are correct
(iii)[1.0]
Mean of $x = 53$, mean of $y = 28$ regression co-efficient $y \text{ on } x = -1 \cdot 2$, regression co-efficient $x \text{ on } y = -0 \cdot 3$. Find coefficient of correlation (r). [Understanding]
(iv)[1.0]
The total revenue received from the sale of x unit of a product is given by $R(x) = 3x^2 + 36x + 5$. Find the marginal revenue when $x = 5$. [Understanding]
(v)[1.0]
A manufacturing company finds that the daily cost of producing $x$ item of product is given by $C(x) = 210x + 7000$. Find the minimum number that must be produced and sold daily, if each item is sold for ₹280. [Understanding]
Answer
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From ISC 2025 Specimen Mathematics Paper 1, question 19.