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Published on: 28/08/2019
Applications of Differentiation
Download Tamil Nadu 11th Standard Business Maths and Statistics question papers, model tests, one-mark questions, important questions, and public exam papers in PDF format. Free study materials and answer keys for TN State Board students.
Questions + Answers key
Take MCQ Business Maths and Statistics Test
1.
If f(x,y) is a homogeneous function of degree n, then \(x\frac { \partial f }{ \partial x } +y\frac { \partial f }{ \partial y } \) is equal to ________.
(n–1)f
n(n–1)f
nf
f
2.
The maximum value of f(x) = sinx is ________.
1
\(\frac { \sqrt { 3 } }{ 2 } \)
\(\frac { 1 }{ \sqrt { 2 } } \)
\(-\frac { 1 }{ \sqrt { 2 } } \)
3.
Profit P(x) is maximum when ________.
MR = MC
MR = 0
MC = AC
TR = AC
4.
If the average revenue of a certain firm is Rs. 50 and its elasticity of demand is 2, then their marginal revenue is _________.
Rs. 50
Rs. 25
Rs. 100
Rs. 75
5.
Instantaneous rate of change of y = 2x2 + 5x with respect to x at x = 2 is _________.
4
5
13
9
6.
For the cost function C =\(\frac { 1 }{ 25 } { e }^{ 5x }\), the marginal cost is _________.
\(\frac { 1 }{ 25 } \)
\(\frac { 1 }{ 5 } { e }^{ 5x }\)
\(\frac { 1 }{ 125 } { e }^{ 5x }\)
25e5x
7.
Relationship among MR, AR and ηd is ______.
\({ n }_{ d }=\frac { AR }{ AR-MR } \)
ηd = AR - MR
MR = AR = ηd
\(AR=\frac { MR }{ {ηd } } \)
8.
9.
Marginal revenue of the demand function p = 20–3x is _______.
20–6x
20–3x
20+6x
20+3x
10.
Average fixed cost of the cost function C(x) = 2x3 +5x2 - 14x +21 is _______.
\(\frac { 2 }{ 3 } \)
\(\frac { 5}{ x } \)
\(\frac { 14 }{ x } \)
\(\frac { 21 }{ x } \)
1.
(c)
nf
2.
(a)
1
3.
(a)
MR = MC
4.
\(\eta_d=\frac{A R}{A R-M R} \Rightarrow 2 =\frac{50}{50-M R} \)
\(50-M R =25 \)
\(M R =25\)
5.
dy/dx = 4x + 5
At x = 2, dy/dx = 13
6.
\(\frac{d C}{d x}=M C=\frac{5 e^{5 x}}{25}=\frac{1}{5} e^{5 x}\)
7.
(a)
\({ n }_{ d }=\frac { AR }{ AR-MR } \)
8.
(b)
9.
R = px = 20x- 3x2
M.R = dR/dx = 20 - 6x
10.
(d)
\(\frac { 21 }{ x } \)
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Tamilnadu Stateboard 11th Standard Subjects
Maths
Commerce
Economics
Biology
Business Maths and Statistics
Accountancy
Computer Science
Physics
Chemistry
Maths
Biology
Economics
Physics
Chemistry
History
Business Maths and Statistics
Computer Science
Accountancy
Computer Applications
History
Computer Technology
Commerce
Computer Applications
Computer Technology
Tamil
English
French
Tamilnadu Stateboard Standards
