IGNOU MEC 103 SOLVED ASSIGNMENT
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MEC 103: Quantitative Methods
| Title Name | IGNOU MEC 103 SOLVED ASSIGNMENT |
|---|---|
| Type | Soft Copy (E-Assignment) .pdf |
| University | IGNOU |
| Degree | MASTER DEGREE PROGRAMMES |
| Course Code | MEC |
| Course Name | Master of Arts in Economics |
| Subject Code | MEC 103 |
| Subject Name | Quantitative Methods |
| Year | 2025 2026 |
| Session | - |
| Language | English Medium |
| Assignment Code | MEC 103/Assignment-1/2025 2026 |
| Product Description | Assignment of MEC (Master of Arts in Economics) 2025 2026. Latest MEC 103 2026 Solved Assignment Solutions |
| Last Date of IGNOU Assignment Submission | Last Date of Submission of IGNOU BEGC-131 (BAG) 2025-26 Assignment is for January 2026 Session: 30th September, 2026 (for December 2025 Term End Exam). Semester Wise January 2025 Session: 30th March, 2026 (for June 2026 Term End Exam). July 2025 Session: 30th September, 2025 (for December 2025 Term End Exam). |
| Format | Ready-to-Print PDF (.soft copy) |
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MEC 103 2025 2026 - English
MEC 103: QUANTITATIVE METHODS
Tutor Marked Assignment
Course Code: MEC-103
Assignment Code: Asst/TMA/2025-26
Total Marks: 100
SECTION A
Answer the following questions. Each question carries 20 marks
1 (a) Explain the theorem of second order optimum.
(b) Consider the following utility maximization problem, in which the utility function of the consumer is given by U(x,y)=x^0.7y^0.3. The consumer income is I=200 and p x=3 and py=2. Find the utility maximizing x and y when the budget constraint of the consumer may or may not bind. (Apply Kuhn-Tucker method)
2. Given the input matrix and the final demand vector:
A = [[0.10, 0.15, 0.12],
[0.20, 0, 0.30],
[0.25, 0.40, 0.20]]
d = [[100],
[200],
[300]]
a) Explain the economic meaning of the elements 0.30,0 and 200
b) Explain the economic meaning of (if any) of the third column sum
c) Explain the economic meaning of (if any) of the third row sum
d) Write out the specific input-output matrix equation for this model
e) Find the solution output levels of the three industries using Cramer's rule.
SECTION B
Answer the following questions. Each question carries 12 marks.
3.Using Simplex method solve the problem:
Maximise z = 4x + 8y + 2k
Subject to:
Also, minimize the same for z
4) a.) Ram and Rahim play for a prize of Rs. 99. The prize is to be won by the player who first throws a 3 with a single die. Ram throws first and if he fails Rahim throws it and if Rahim fails Ram throws it again and this process continues. Find their respective expectations.
b.) If P (A B
C) = 0, show that P [(A
B)/ C] = P(A/C) + P (B/C)
5) a) Discuss the nature of the following time path:
b) Solve equation: for
6) Examine the following functions for maxima and minima:
a)
b)
7) Write short notes on following:
a) Maximin or Minimax Principle
b) Riemann Sum
c) Russell's Paradox
d) Chi square test of goodness of fit
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