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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 output? (Recall)
- (a)$MC > AC$
- (b)$MC = AC$
- (c)$MC < AC$
- (d)$MC = \frac{1}{2} AC$
(ii)[1.0]
Which of the following statement(s) is/are correct with respect to regression coefficients?
Statement 1: It measures the degree of linear relationship between two variables.
Statement 2: It gives the value by which one variable changes for a unit change in the other variable.
Which of the following is correct? (Recall)
- (a)Statement 1 is true and Statement 2 is false.
- (b)Statement 2 is true and Statement 1 is false.
- (c)Both the statements are true.
- (d)Both the statements are false.
(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 for break even, if each item is sold for ₹280. (Understanding)
Answer
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From ISC 2026 Specimen Mathematics Paper 1, question 19.