# 803-Mathematics for Economists_VUsolutions.com

W
Description

AIOU Autumn 2011 Semester Assignments of Postgraduate M.Phil & PhD Level,

Shared by:
Categories
-
Stats
views:
94
posted:
5/8/2012
language:
pages:
2
Document Sample

```							      ALLAMA IQBAL OPEN UNIVERSITY, ISLAMABAD
(Department of Economics)

WARNING
1.   PLAGIARISM OR HIRING OF GHOST WRITER(S) FOR SOLVING
THE ASSIGNMENT(S) WILL DEBAR THE STUDENT FROM AWARD
OF DEGREE/CERTIFICATE, IF FOUND AT ANY STAGE.
2.   SUBMITTING ASSIGNMENTS BORROWED OR STOLEN FROM
OTHER(S) AS ONE’S OWN WILL BE PENALIZED AS DEFINED IN
“AIOU PLAGIARISM POLICY”.

Course: Mathematics for Economists (803)                       Semester: Autumn, 2011
Level: M. Sc. Economics                                              Total Marks: 100
Pass Marks: 40
ASSIGNMENT No. 1
(Units 1–5)

Q. 1 Define the following:
i)   Scope of line                        ii)      Function
iii) Equation                             iv)      Coefficients
v)   Exogenous Variables                  vi)      Endogenous Variables

Q. 2 Given the model
Y  C  I   G
C  a  b  (Y  T )
T  d  tY
a)    Find out and write exogenous variables
b)    Find out and write endogenous variables
c)    Find out the solution values of Y, C and T

Q. 3 i)    Given u  3 and v /  1 4 5 find uv /
ii)   Using Cramer’s rule solve the following equations i.e. find the values of X
and Y
8x1  7 x2  6
x1  x 2  3

Q. 4 i)    Find 2nd and 3rd derivative of ax  ax  c
ii)   Given an economic interpretation of total differentiation and partial
differentiation.
Q. 5 i)      Using chain rule find dy/dx of y  (3 x 2  13 ) 3
ii)     Find total derivative dx/dy given
z  f ( x, y )  2 x  xy  y 2 ,
where x   g ( y )  3 y 2

ASSIGNMENT No. 2
(Units 6–9)
Total Marks: 100

Q. 1 Find dy/dx from the functions
i)    (ax 2  b) /(cx  d )
ii)    (9 x 2  2)( 3 x  1)
iii)   Y e
iv)    YX
v)     Y  log (1  2 X / 1  X
vi)    Y  X 2 log X

Q. 2 Find the relative extreme of the following function. Draw graph of the function to
show the extreme point.
Y  f ( x)  x 2  3x  2

Q. 3 Given the total-cost function C  Q 3  5Q 2  14 Q  75, write out a variable-cost
(VC) function. Find the derivative of the VC function, and interpret the economic
meaning of that derivative.

Q. 4 Find the extreme value(s) of the following:
Z  x1  3x1 x3  2x2  3x 2 3
3

Q. 5 Using Lagrange-multiplier method, find the stationary value of Z
Z  x  3 y  zy
Subject to: x  y  6

2

```
Related docs
Other docs by vufellows
1423-5404-Compulsory English-I_VUsolutions.com
D.Com-DBA-FA-Book-II-Part-I-3of9