IGNOU BECC-102 June 2025 Previous Year Question Paper

Q1.A monopolist face a demand function P=80-2Q, where P is price and Q is quantity. 6+6+8

(a) Find the expression for Marginal Revenue.

(b) What is elasticity of demand ?

(c) Does relationship between AR, MR and elasticity hold in this case ?

Q2.Obtain and solve the difference equation in the following Cobweb model : 20 Demand function : Qj, =125—2P, Supply function :Q,, =-50+1.5P,_,, Where = Q is quantity = Pis price = tis time

Q3.(a) Explain the intermediate value theorem. 10

(b) Consider the following market demand and supply functions : 10 D(P) = 50 - 2P and 5600) 5- 10 + 7? Calculate equilibrium price and quantity.

Q4.Total Cost (TC) of firm is given as TC = 50+ 40 Q, while the demand function for a good is given as: 20 Q=50-0.5P, where P = Price and Q = Quantity. Determine output level at which profit is maximised. Also find the maximum profit.

Q5.(a) The sum of some terms of a G.P. is 315. It’s first term is 5 and the common ratio is 2. Find the total number of terms and the last term.

(b) Find the tenth term of G.P. whose third term is 16 and seventh term is 1.

Q6.Calculate Producer Surplus and Consumer Surplus for the following demand and supply functions when : Demand function : P = 50 —2Q Supply function : P=14+4Q

Q7.Explain the basic structure of Samuelson’s Multiplier—Accelerator Interaction Model.

Q8.Show that the graph of the following equations is a parabola. Find the vertex and focus :

(a) y?+4x=-8

(b) x®-8y=0

Q9.Discuss the methods of proof by contradiction and proof by contrapositive.

Q11.Write short notes on the following: 2x3=6

(a) Point of inflexion

(b) Limit of a sequence

Q12.Determine the values at which the following functions are continuous : 2x3=6 x+2 x4 2 x* —38x*-1