Mathematical Economics, MA Economics Sargodha University Past Papers 2017

Sargodha University MA Economics Paper-III Mathematical Economics Past Papers 2017

Here you can download Past Papers of Paper-III Mathematical Economics, MA Economics Part One, 1st & 2nd Annual Examination, 2017 University of Sargodha.

Mathematical Economics UOS Past Papers 2017

Paper-III(Mathematical Economics)1^st Annual Exam.2017

Time: 3 Hours Marks:100

Note: Objective part is compulsory. Attempt any four questions from subjective Part.

Objective Part

Q.1: Briefly explain the following

Polynomial Functions
Cofactors
Extreme values
Idempotent Matrix
Non Singular Matrix
Transpose of a Matrix
Sufficient Condition
Young’s Theorem
Identities
Final Demand Vector

Subjective Part

Q.2:Given the demand and supply functions of a market.

Qd = 8 – 2P and Qs = 2+ 2P

Q.3: Determine the total demand for industries 1, 2, and 3, given the matrix of technical coefficient A and the final demand vector B below:

Q.4: Solve the following Linear Programming problem through graphical approach C = 12 X 1 + 42 X 2

Such that, X1 + 2 X 2 > 3

X1 + 4 X 2 > 4

3X1 + X 2 > 3

and X1 , X 2 > 0

Q.5: Use Camer’s rule to solve the following national income model:

Y = C + I + G

C = α + β (Y – T) (α > 0, 0 < β < 1)

T = γ + δY (γ >0, 0 < δ< 1)

Where Y, C and T are endogenous variables and I and G are exogenously determined.

Q.6: A firm is perfectly competitive producer and sells two goods G₁ and G₂ at $ 1000 and $800, respectively each. The total of producing these goods is given by

Where Q₁ and Q₂ denote the output levels of G₁ and G₂ respectively. Find the maximum profit and the values of Q₁ and Q₂ at which this is achieved.

Q.7: Optimize the objective function subject to the following constraints

Z = 8 x 2 + 6y2 – 2xy – 40 x – 42y + 180

Subject to:

X + Y = 5