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#### Mathematical Methods for Economics Model Question Paper

11th Standard

Reg.No. :
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Economics

Time : 02:00:00 Hrs
Total Marks : 50
10 x 1 = 10
1. The construction of demand line or supply line is the result of using

(a)

Matrices

(b)

Calculus

(c)

Algebra

(d)

Analytical Geometry

2. Function with single independent variable is known as

(a)

Multivariate Function

(b)

Bivariate Function

(c)

Univariate Function

(d)

Polynomial Function

3. An incremental change in dependent variable with respect to change in independent variable is known as

(a)

slope

(b)

Intercept

(c)

Variant

(d)

Constant

4. Suppose D=50 - 5P when D is zero then

(a)

P is 10

(b)

P is 20

(c)

P is 5

(d)

P is -10

5. Suppose determinant of a matrix Δ = 0, then the solution

(a)

Exists

(b)

Does not exists

(c)

is infinity

(d)

is zero

6. Differentiation of Xn is

(a)

nx(n-1)

(b)

nx (n+1)

(c)

zero

(d)

one

7. If x + = 5 and x-y = 3 then value of x

(a)

4

(b)

3

(c)

16

(d)

8

8. Data processing is done by

(a)

PC alone

(b)

Calculator alone

(c)

Both PC and Calculator

(d)

Pen drive

9. The command Ctrl +M is applied for

(a)

Saving

(b)

Copying

(c)

Getting new slide

(d)

Deleting a slide

10. Functions with a ________ independent variable are called simple univariate function.

(a)

Single

(b)

Multiple

(c)

Double

(d)

All of these

11. 6 x 2 = 12
12. Given the demand function q = 150 - 3p, derive a function for MR.

13. Suppose the price p and quantity q of a commodity are related by the equation q = 30 -4p-p2 find ed at p = 2

14. What are the Main menus of MS word?

15. Integrate: $\int { 4{ \quad x }^{ 3 } } dx$

16. Integrate : $\int { ({ x }^{ 2 } } +x-1)dx$

17. $\int { 5dx } =5x+c$

18. 6 x 3 = 18
19. Solve for X quantity demanded if 16x - 4 = 68 + 7x

20. If a firm faces the total cost function TC = 5 + x2 where x is output, what is TC when x is 10?

21. The demand for milk given by

 Price 1 2 3 Demand 100 50 0

find the linear demand function and its slope

22. Find the supply function of a commodity such that the quantity supplied is zero, when the price is Rs.5 or below and the supply (quantity) increases continuously at the constant rate of 10 units for each one rupee rise when the price is above Rs.5.

23. Given the total cost function,TC=20+$5{ Q }^{ 2 }+{ 3Q }^{ 3 }$ derive the marginal cost function.

24. The marginal cost function for producing x units is y = 23 + 16x - 3x2 and the total cost for producing zero unit is Rs.40. Obtain the total cost function and the average cost function.

25. 2 x 5 = 10
26. Calculate the elasticity of demand for the demand schedule by using differential calculus method P = 60 - 0.2Q where price is (i)zero, (ii)Rs.20, (iii)40

27. Given the demand function Pd = 2S - Q2 and the supply function ps = 2Q + 1. Assuming pure competition, find (a) consumers surplus and (b) producers surplus. (Pd = Demand price; Ps = Supply price)