IGNOU BECC 104 SOLVED ASSIGNMENT

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BECC 104: Mathematical Methods for Economics I

Title Name	IGNOU BECC 104 SOLVED ASSIGNMENT
Type	Soft Copy (E-Assignment) .pdf
University	IGNOU
Degree	BACHELOR DEGREE PROGRAMMES
Course Code	BA
Course Name	Bachelor of Arts (Honours)
Subject Code	BECC 104
Subject Name	Mathematical Methods for Economics I
Year	2025
Session	-
Language	English Medium
Assignment Code	BECC 104/Assignment-1/2025
Product Description	Assignment of BA (Bachelor of Arts (Honours)) 2025. Latest BECC 104 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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BECC 104 2025 - English

BECC 104: MATHEMATICAL METHODS IN ECONOMICS

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Course Code: BECC 104

Assignment Code: ASST BECC 104/TMA/July 2024 and January 2025

Total Marks: 100

Part A

Answer the following Long Category questions in about 500 words cach. Each question carries 20 marks. Word limit will not apply in the case of numerical questions.

1. Consider the following two matrices

$A=egin{pmatrix}-1&1&2\1&-1&-2\-2&2&4end{pmatrix}$

$B=egin{pmatrix}1&0&-1\-1&1&1\1&-1&-1end{pmatrix}$

(i) Find the rank of 'A' and 'B'

(ii) Show that (AB)=B^-1A^-1

(iii) Show that (A^-1) ^-1=A

(iv) Show that (B^-1)^-1=B

2. An individual consumer consumes two commodities X₁ & X₂. The utility function is

$U=X_1^{0.4}X_2^{0.6}$

The price of commodity one is P₁= Rs.3.00, the price of commodity two is P₂=Rs.4.00, the individual's income per period is Rs. 108. Determine the utility maximizing level of X₁ & X₂, and derive the demand curves for the two commodities.

Part B

Answer the following Middle Category questions in about 250 words each. Each question carries 10 marks. Word limit will not apply in the case of numerical questions.

3. $ext{Let}Z=f(x,y)=3x^3-5y^2-225x+70y+23.$

(1) Find the stationary points of z.

(ii) Determine if at these points the function is at a relative maximum, relative minimum, infixion point, or saddle point.

4. Solve the following differential equation

$frac{d^2 y}{dx^2}-2frac{dy}{dx}+10y=0,$

given Y(0) = 4

$frac{dy}{dx}(0)=1$

5. $ext{If}Z=f(x,y)=xy$

Find the maximum value for f(x,y) if x and y are constrained to sum to 1 (That is, x+y= 1). Solve the problem in two ways: by substitution and by using the Lagrangian multiplier method.

Part C

Answer the following Short Category questions in about 100 words each

6. Define

a. Adjugate of a matrix

b. Decomposable matrix

с. Singular matrix

7. Evaluate $int(7x-2)sqrt{3x+2},dx$

8. Explain the concept of maximum value function.

9. Let the production function by $Q=AL^a K^b.$ Find the elasticity of production with respect to labour (L).

10. Denote by a, b and e the column vectors

$mathbf{a}=egin{pmatrix}1\2\3end{pmatrix},mathbf{b}=egin{pmatrix}-2\1\-3end{pmatrix},mathbf{c}=egin{pmatrix}-2\-1\1end{pmatrix}$

Calculate

$2mathbf{a}-5mathbf{b},quad 2mathbf{a}-5mathbf{b}+mathbf{c},quadmathbf{a}cdotmathbf{b}$

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