BECC-102 · June 2023 · English
IGNOU BECC-102 June 2023 Previous Year Question Paper
MATHEMATICAL METHODS IN ECONOMICS-I
Structured previous year question paper for BECC-102, June 2023 session.
Max marks: 100 · Questions: 14 · Sections: 3
Verified: 5 Aug 2026
BACHELOR OF ARTS (HONOURS)
ECONOMICS (BAECH)
Term-End Examination
June, 2023
BECC-102 : MATHEMATICAL METHODS IN
ECONOMICS-I
Time : 3 Hours Maximum Marks : 100
Note :Answer questions from all the Section as
directed.
Section—A
Note : Answer any two questions from this Section.
2x20=40
Q1.The demand and supply functions of a good at time ¢ are as follows : Qa =5-2P,
Q2.1. 0. where Q,, stands for quantity demanded and Q,, stands for quantity supplied. P is the price. Obtain the difference equation and calculate equilibrium quantity and price.
Q3.A firm has the following Revenue and Cost functions : RQ) = 1200Q — 2? C(Q) = Q? — 61.25Q? + 1528.5Q + 2000
(a) Formulate the total profit function. 5
(b) Find the profit maximising level of output
Q4.Q. 10
(c) Find the maximum profit.
Q5.A firm faces a demand function : P=20-q, where p is the price and gq is the quantity.
(a) Obtain the function for Marginal Revenue. 6
(b) Find the elasticity of demand. 7
(c) Does the relationship between Average Revenue, Marginal Revenue and Elasticity hold in this case ?
Q6.What are the conditions for a function to be :
(a) Convex to X-axis
(b) Concave to X-axis
(c) Convex to the origin
(d) Concave to the origin
(e) Maxima Explain each of the above cases with the help of a diagram.
Section—B
Note:Answer any four questions from this
Section. 4x12=48
Q7.(a) Find the 13th term and the sum of first 20 terms of the GP :
Q8.9, 18, 36, 72
(b) Find the 20th term of an Arithmetic Progression (AP) whose first term is 15 and common difference is 3.
Q9.Construct truth table for the following :
(a) not (p and q)
(b) (not p) or (not 4)
(c) (not p) and q
(9) p or (not 4)
Q10.(a) What do you mean by the domain and the range of a relation ?
(b) Explain various properties of Relations.
Q11.Suppose the demand for a product is given by P =— 0.8q + 150, and the supply for the same product is given by P = 5.2q. For both the functions, p stands for price and q stands for quantity. Find the consumer surplus and the producer surplus at equilibrium.
Q12.(a) What is a discontinuous function ? Discuss the types of discontinuity.
(b) Given the function f(x) = Av+5 Discuss 9-3x the continuity of the function at x = — 1, x=0.
Q13.(a) Show that the graph of x24? -2x+6y—6=0 is a circle. Also find its centre and radius.
(b) Show that y? +4x =-8 is a parabola.
Section—C
Note : Answer both questions from this Section.
Q15.Differentiate between the following concepts : 2x3=6
(a) Linear and Non-linear difference equations
(b) Exponential function and Power function 2x20=40