30.
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32.

33.

35.

36.

4 C 60214
What are the applications of Linear Programming methods ?
Calculate marginal productivity of labour and capital from the following production functions
6) X=L? + 2L+10; (i)X =K? + ദ.
Write a note on indifference curve. What are the properties of indifference curve ?
(6 x 5 = 30 marks)
Part D (Essay Questions)

Answer any two questions.
Each question carries 12 marks.

Solve the following LPP graphically :

Maximize Z = 2x, + 3x9

1 ک چند+ بد ‎subject to‏
3954
.0 ود ,0 < رھ

Given the utility function U = f (x, y), the prices are p;= Rs. 5 and ‏وم‎ - 88. 5 अत 0008000675

income for the period is Rs. 50. Find out the consumer's equilibrium level of consumption of
commodity x and y. Also prove the conditions for maximization.

Given the following Revenue (R) and Cost (C) functions for a firm R = 20g - q* and C = q” + 8q+2,
find the equilibrium level of output, price, total revenue, total cost and profit.

Given the Demand and the Average Cost Functions of a monopolistic firm as
5
೫-32-36, AC=q+8+ नं what level of output maximizes total profit and what are the

corresponding values of R, AR, MR, C, AC, MC and Profit ?
(2 x 12 = 24 marks)