BECC-102 · December 2025 · English
IGNOU BECC-102 December 2025 Previous Year Question Paper
MATHEMATICAL METHODS IN ECONOMICS-I
Structured previous year question paper for BECC-102, December 2025 session.
Max marks: 100 · Questions: 11 · Sections: 3
Verified: 5 Aug 2026
BACHELOR OF ARTS
(HONOURS) ECONOMICS
(BAECH)
Term-End Examination
December, 2025
BECC-102 : MATHEMATICAL METHODS IN
ECONOMICS-I
Time : 3 Hours Maximum Marks : 100
Note : Answer questions from all the Sections as
directed.
Section—A
Note: Answer any two questions from this
Section. 2x20=40
Q1.Given the following demand and supply functions : 20 Qq = 10 — 2P, Q, =-5 + 383 1 where Q, is quantity demanded; Q, is quantity supplied; P is price; and t is time period. Find:
(a) the time path of price.
(b) determine if the time path is stable, unstable or regular.
Q2.(a) The total cost function of a firm is : x8 5. 2 C(x) = = bx + 28x +10, where x is the output. A tax at the rate of % 2 per unit of output is imposed and the producer adds it to his cost. If the market demand function is given by P = 2530 — 5x, where P is price per unit of output, find : 14 G) the profit maximizing level of output x
(1) the equilibrium price
(ii) maximum profit.
(b) The demand for furniture (x) is given as: x=100+1.5y, where y represents consumer income. Find income elasticity of demand when y = 10,000.
Q3.(a) Differentiate between homogeneous and non-homogeneous difference equations. 10
(b) Solve the following difference equation :
Q4.(a) Evaluate: 8
(b) Given the demand function P = 20 — 5x and the supply function P = 4 + 3x, where P is price and x is quantity. Find: 12
(i) Consumer surplus Gi) Producer surplus
Section—B
Note : Answer any four questions from this
Section. 4x12=48
Q5.(a) Explain the following : 6
(6) Theorem Gi) Proof
(b) Briefly discuss various types of proofs.
Q6.(a) Find the equation of the circle with centre (2, — 3) and radius 5. 6
(b) Show that y2 + 4x=-—8 isa parabola.
Q7.(a) Briefly explain the concept of present value. How is it related to discounting principle ? 4
(b) A firm has purchased an item on a fixed payment plan of = 20,000 per year for 8 years. Payments are to be made at the beginning of each year. What is the present value of the total cash flow of payments for an interest rate of 20% per year ?
Q8.Discuss the basic setup of the Cobweb model.
Q9.(a) Ifthe 7th term of an A.P. is equal to its 11th term, show that the 18th term of the A.P. is zero. 6
(b) Find the 28th term from the end of the A.P.:
Q10.What do you understand by a convex combination ? Use the concept of convex combination to explain the concept of a convex set.
Section—C
Note : Answer both the questions from this
Section. 2x6=12
Q11.Evaluate the following limits : 2x3=6 3x" +x-1