About This Solved Paper
| Prepared by | Unnati Education, IGNOU-experienced academic content writer |
|---|---|
| Qualification | Graduate with specialisation in Mathematical Economics and Linear Algebra Applications |
| Programme | IGNOU Bachelor of Arts Honours Economics (BAECH), also relevant for BAVMSME, BCOMF (FYUP), and BAFEC (FYUP) programmes |
| Institution Reference | IGNOU Term-End Examination December 2025 |
Mathematical Methods in Economics-II takes quantitative economics a step further. BECC-104 covers matrix algebra, Cramer's rule, multivariate calculus, production function analysis, differential equations, vector operations, and optimisation in multi-product firm settings. Each of these demands both computational accuracy and a clear understanding of the economic logic behind the mathematics. That combination is what makes this paper genuinely challenging. Unnati Education's solved paper is built directly from the BECC 104 Question Paper December 2025 to give IGNOU BAECH students structured, step-by-step solutions they can actually learn from.
What is BECC-104 Question Paper December 2025?
The BECC-104 December 2025 question paper is the official IGNOU Term-End Examination for Mathematical Methods in Economics-II under the BAECH programme, carrying 100 marks with numerical, analytical, and theory-based questions across three structured sections.
This paper builds directly on BECC-102 by introducing more advanced tools. Cramer's rule extends matrix algebra into solving linear equation systems. Multivariate calculus through total differentials and chain rule handles functions of several variables. Profit maximisation in multi-product firms applies first and second order conditions simultaneously. Differential equations cover second order homogeneous cases. Vector operations bring in linear algebra for economic modelling. Each topic connects to real economic analysis, and the solved paper shows those connections clearly alongside the calculations.
About IGNOU BECC-104 - Mathematical Methods in Economics-II
BECC-104 covers a set of tools that economists use when working with complex real-world models. Matrices are applied through Cramer's rule to solve systems of linear equations that represent market equilibria. Production function analysis using the Cobb-Douglas form examines marginal products, returns to scale, and Euler's theorem for exhaustion of product. Multi-product firm optimisation requires setting up a profit function in terms of two outputs and finding stationary points using partial derivatives, then verifying with second-order conditions.
Compensated demand functions and Shephard's lemma connect consumer theory to cost minimisation in a rigorous way. Homogeneous and homothetic functions appear in production and utility analysis. Vector spaces provide the algebraic structure underlying much of matrix theory. In practice, these are not isolated mathematical techniques. They appear together in applied economic problems, and understanding them as connected is what produces the kind of answers IGNOU examiners reward.
BECC 104 Exam Pattern and Marks Breakdown
The paper carries 100 marks over three hours. Section A contains four questions of 20 marks each and you must attempt any two. These are the most demanding questions covering matrices, production functions, profit optimisation, and chain rule. Section B has six questions of 12 marks each and you must attempt any four. These cover matrix inverse, total differentials, utility functions, vector products, differential equations, and economic theory concepts. Section C has two compulsory questions of six marks each covering homogeneous functions and short notes on vector space and homothetic functions. Knowing this structure early helps you plan your preparation efficiently.
All Questions - BECC 104 Question Paper December 2025 IGNOU (Complete List)
Section A - Answer any two questions from this Section. 2x20=40
(a) Find the solution of the following equation system using Cramer's rule: 7x1 - x2 - x3 = 0 10x1 - 2x2 + x3 = 8 6x1 + 3x2 - 2x3 = 7
(b) Define the concept of orthogonality of vectors.
Given production function Q = 2L^(1/3)K^(1/3), where L stands for labour and K stands for capital. Find: (a) Marginal product of two factors (b) Nature of returns to scale (c) If total production is exhausted or not
If a two-product firm faces the demand and cost functions given below: Q1 = 40 - 2P1 + P2 Q2 = 15 + P1 - P2 C = Q1^2 + Q1Q2 + Q2^2 (a) Find the output levels that satisfy first order condition for maximum profit. (b) Check the second order sufficient condition. (c) Find the maximum profit level.
Explain the chain rule in the case of multivariate functions using a suitable example.
Section B - Answer any four questions from this Section. 4x12=48
Find the inverse of: B = [4, 1, -1 / 0, 3, 2 / 3, 0, 7]
Find total differential of the following functions: (a) y = x1 / (x1 + x2) (b) y = 2x1x2 / (x1 + x2)
Explain the following concepts: (a) Compensated demand function (b) Shephard's lemma
If the utility function is u = ax + by + c(root of xy), find the ratio of marginal utilities of the two goods x and y.
If: u' = [5, 1, 3] v' = [3, 1, -1] w' = [7, 5, 8] x' = [x1, x2, x3] Compute: (a) u'v (b) w'x
Solve the following differential equation: (D^2 + D + 1)y = 0
Section C - Answer both questions from this Section. 2x6=12
Determine if the following functions are homogeneous and of what degree? (a) f(x, y) = x^3 - xy + y^3 (b) f(x, y, w) = x^4 - 5yw^3
Write short notes on the following: (a) Vector space (b) Homothetic functions
BECC 104 Syllabus Topics Covered in Question Paper December
This paper covers the advanced quantitative toolkit of BECC-104 comprehensively. Matrix algebra through Cramer's rule and matrix inverse are the linear algebra anchors. Production function analysis spans partial derivatives, Euler's theorem, and returns to scale determination. Multi-product profit optimisation uses simultaneous partial differentiation and Hessian determinant verification. Total differentials cover multivariate function differentiation in both quotient and product forms. Vector operations include dot products and matrix-vector multiplication. Differential equations cover the second order homogeneous case with complex roots. Homogeneous functions and their degree, homothetic functions, vector spaces, compensated demand, and Shephard's lemma complete the syllabus coverage.
Sample Answer Preview - BECC 104 Mathematical Methods for Economics Solved Question Paper
Here is how the Cramer's rule question should be structured. Write the system in matrix form as Ax = b. Compute the determinant of A first. Then replace each column of A in turn with the b vector to form the sub-matrices D1, D2, and D3. Compute the determinant of each. Then x1 = D1/det(A), x2 = D2/det(A), x3 = D3/det(A). The BECC-104 solved question paper shows each determinant expansion clearly using cofactor expansion, with all arithmetic steps visible. That is the level of working IGNOU expects in a 20-mark question, and the solved paper matches it precisely.
How to Write High-Scoring Answers in BECC 104 Question Paper
Here is the important part. Advanced mathematical economics papers need answers that are both mathematically correct and clearly communicated. For matrix problems, show the cofactor matrix, the adjugate, and the determinant separately before combining them. For production function questions, write the partial derivative formula before substituting. For profit maximisation, label each step clearly as the profit function, first order conditions, solving the system, and then the second order check. Most students notice that IGNOU examiners award partial marks for correct method even when the final numerical answer has an error. That is why showing your working fully is never optional in this paper.
Who Should Use This BECC-104 Solved Question Paper December 2025?
This solved paper is built for IGNOU BAECH students appearing in the December 2025 Term-End Examination. Students who are strong in economics but find advanced matrix algebra and differential equations challenging will benefit most from the step-wise solutions. Those who understand the concepts but struggle to convert them into correctly structured exam answers will find the model answers directly applicable. The paper is also relevant for students in BAVMSME, BCOMF under FYUP, and BAFEC under FYUP where BECC-104 appears as part of the programme. Repeat candidates will see exactly where their previous answers needed more structured working.
Why This is Better Than Free BECC-104 December 2025 Question Paper PDFs and Telegram Files
Free resources rarely show complete determinant expansions, full profit maximisation working, or properly derived total differentials. These steps are where marks are actually earned in this paper, and skipping them is what separates a complete answer from a partial one. Unnati Education's solved paper is prepared from the actual December 2025 question paper with complete numerical working, formula derivations, and economic interpretations written at the correct depth for each question's mark allocation. That specificity is not something recycled Telegram files can offer.
Student Reviews - BECC-104 Solved Question Paper by Unnati Education
"The Cramer's rule solution was laid out in such a clean sequence. Determinant of A first, then each sub-matrix, then the final values. The BECC-104 December 2025 solved paper made this question approachable." — Sourav from Bhubaneswar
"I always struggled with multi-product profit maximisation because of the simultaneous partial derivatives. Unnati's solved paper showed the first order conditions, the Hessian check, and the maximum profit calculation all in order." — Meghna from Lucknow
"The production function question covering marginal products, returns to scale, and Euler's theorem was answered in a way that showed all three parts connected logically. Very well structured material." — Rahul from Nagpur
How to Get the BECC-104 Solved Question Paper December 2025 - Step by Step
Click the contact or order button on this page and inform the Unnati Education team that you need the BECC-104 December 2025 solved question paper. They will confirm your request and share payment details quickly. Once payment is confirmed, the complete solved paper with all matrix solutions, calculus derivations, vector operations, and theory answers is delivered to you directly.
Frequently Asked Questions
What topics are covered in the BECC-104 Mathematical Methods in Economics-II syllabus?
BECC-104 covers Cramer's rule for solving linear equation systems, matrix inverse computation, orthogonality of vectors, production function analysis including marginal products and returns to scale, multi-product profit maximisation using first and second order conditions, total differentials of multivariate functions, chain rule in multivariate calculus, compensated demand functions, Shephard's lemma, utility function marginal utilities, vector dot products, second order differential equations, homogeneous functions and degree, vector spaces, and homothetic functions.
What is the exam pattern for BECC-104 December 2025?
The paper carries 100 marks over three hours. Section A has four questions of 20 marks each and you must attempt any two. Section B has six questions of 12 marks each and you must attempt any four. Section C has two compulsory questions of six marks each. The Section A questions are the most computationally intensive, covering matrix systems and multi-variable optimisation. Preparing at least three Section A topics thoroughly gives you adequate choice while managing preparation time efficiently across the full paper.
Is BECC-104 more difficult than BECC-102?
BECC-104 is generally considered more demanding than BECC-102 because the mathematical tools are more advanced. Matrix algebra at the level of Cramer's rule and matrix inverse requires careful arithmetic across multiple steps. Multi-product profit maximisation involves simultaneous partial differentiation and Hessian analysis. Differential equations add another layer of technique. That said, students who prepared well for BECC-102 find the transition manageable with the right solved paper showing them the expected answer structure and depth for each question type.
How can I access the IGNOU BECC-104 question paper and solved answers?
The complete BECC-104 December 2025 question paper is available on this page for direct viewing. For fully worked solutions covering Cramer's rule, production functions, profit maximisation, matrix inverse, total differentials, and all other questions, you can get the BECC-104 solved question paper from Unnati Education by using the contact option on this page. The solved paper is delivered promptly after confirmation and is structured for direct use in revision and exam preparation.
Does the solved paper cover the multi-product profit maximisation question fully?
Yes. The multi-product profit maximisation question is one of the most mark-intensive questions in Section A and Unnati Education's solved paper covers it completely. The profit function is derived first from the given demand and cost functions. First order conditions through partial derivatives with respect to both outputs are set to zero and solved simultaneously. The second order sufficient condition is verified using the bordered Hessian. The maximum profit value is then computed by substituting back. Every step is shown clearly with labelling that matches IGNOU's expected presentation.
About Unnati Education - IGNOU Study Material Experts
Unnati Education supports IGNOU students across BAECH, BCA, CMAD, and multiple other programmes with accurately prepared solved papers and study material. We understand that BECC-104 demands both mathematical rigour and economic application in every answer, and our content writers are equipped to deliver exactly that. Each solved paper is prepared from the specific session's question paper, checked for computational accuracy, and formatted to match what IGNOU examiners expect. Students across India trust us because our material is built for results, not just for content.
Explore More IGNOU BECC-104 Solved Papers and Study Material
Unnati Education offers solved papers from previous BECC-104 examination sessions for varied question pattern practice. Assignment solutions for the current BAECH academic year are also available. Topic-wise notes on matrix algebra, multivariate calculus, and differential equations support students who want focused revision on specific weaker areas. Related solved papers for BECC-101, BECC-102, BECC-103, and other BAECH subjects are prepared with the same commitment to accuracy, IGNOU alignment, and student-focused clarity.
Get Your BECC 104 Question Paper December 2025 Solved Paper Now
The question paper is on this page. Now get the step-wise solutions that help you understand the methods and write complete answers in the exam. The BECC-104 December 2025 solved paper from Unnati Education covers every section with full matrix working, calculus derivations, and IGNOU-appropriate answer structures. Stop relying on incomplete resources. Get the solved paper today and prepare with real confidence for your December 2025 examination.