BECC-102 · December 2023 · English
IGNOU BECC-102 December 2023 Previous Year Question Paper
MATHEMATICAL METHODS IN ECONOMICS-I
Structured previous year question paper for BECC-102, December 2023 session.
Max marks: 100 · Questions: 11 · Sections: 3
Verified: 5 Aug 2026
B. A. (HONOURS) ECONOMICS
(BAECH)
Term-End Examination
December, 2023
BECC-102 : MATHEMATICAL METHODS IN
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.(a) The demand and supply function of a commodity are Py, =18-2x—x* and P; =2x-3. Find the consumer’s surplus and producer’s surplus at equilibrium price. 15
(b) Marginal cost function of a firm is MC =4+6x+30x". Find firm’s total cost function if the fixed cost is = 500.
Q2.What is a linear difference equation ? Why do we need to linearise non-linear difference equations ? How is it done ? Explain with the help of an example.
Q3.The demand and supply curves of a commodity X are given by the following two equations : T+7+6 Qy = 200-10p Q, =50+15p
(a) Determine the equilibrium price and quantity.
(b) Suppose that the price of factor inputs has changed, resulting in new supply curve Q, =100+15p. Analyse the new equilibrium price and new equilibrium quantity as against the original.
(c) What will happen if government imposes tax of 5 per unit on the commodity X ?
Q4.A manufacturer has a demand function Q=100-0.5P and the total cost function as C=100+40Q. प्+7+6
(a) Determine the optimum level of production.
(b) Show that the second order condition of profit maximization holds.
(c) What is the maximum profit ?
Section—B
Note : Answer any four questions from this Section.
4x12=48
Q5.Discuss the methods of proof by contradiction and proof by inspection.
Q6.Show that the graph of 2x” +2y* -16x—20y+64=0 is a circle. Find its centre and radius.
Q7.(a) What do you understand by Sinking Funds ? Explain. 6
(b) Find the twelfth term of Geometric Progression whose third term is 16 and whose seventh term is 1.
Q8.(a) Evaluate: 6 342 f ( x) = wee a 16x 420 if x#2 (x-2) if x=2.
(b) Find the values of x for which the function y= wae is discontinuous.
Q9.What are the conditions for a function to have :
(a) Maxima
(b) Minima (०0) Inflexion
(d) Convex to origin
Q10.The manufacturing cost of an item consists of = 1,600 as overhead, material cost of = 30 per item and the labour cost हैं (7 100) for x items produced. Find how many items can be produced to have the minimum average cost.
Section—C
Note : Answer all questions from this Section.
2x6=12
Q11.Write notes on the following :
(a) Surjective and bijective functions
(b) Theorems and propositions