IGNOU BECC-102 December 2024 Previous Year Question Paper

Q1.Obtain and solve the difference equation in given Cobweb model : 20 Demand function : Qy, = 22-—3P, Supply function : Q,, =-2+P,_,, where Q is the quantity, P is the price, ¢ is time.

Q2.The demand function for a good is given by the equation P = 50 — 2Q while total cost is given by TC = 160 + 2Q, where Q is the quantity and P is price. Determine :

(a) Output level at which profit is maximised

(0) Maximum profit.

Q3.(a) What is a non-linear difference equation ? How do we linearise it ? What is the need ?

(b) What is the difference between a linear equation and linear function ?

Q4.A monopolist faces a demand function: 6+6+8 where P is price and q is quantity.

(a) Find the expression for Marginal Revenue.

(b) What is elasticity of demand ?

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

Q5.Show the graph of the following is a circle. Also find its centre and radius : 6+6

(a) x? +9? —2x+6y-6=0

(b) 2x7 +2y” -16x -20y-14 =0

Q6.Explain the concepts of an axiom, a proposition and a corollary with the help of example.

Q7.(a) If 7 times the 7th term of an A.P. is equal to 11 times 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

Q8.Given the demand function : (Qp)2s P = 20 — 5x and the supply function : find the consumer surplus and_ producer surplus.

Q9.Explain the fundamental difference equation in the Solow growth model.

Q11.Find the values of variable x for which the following functions are not continuous: 2x3=6 x -3x-4 (@y “88-4 x°+3x—-4 4-x? 4x — x)