33.

34.

35.

36.

4 0 4027.

Part D (Essay questions)
Answer any two questions.
Find the maxima and minima of the total cost function :

و + 5.502- 240 +31 = 7

Also give marginal costs at these points of maxima and minima.

Calculate Laspeyer’s, Paasche’s and Fisher’s index number from the following data :

2010 2014
Commodities Price Quantity Price Quantity 1
A 2 8 4 6
B 5 10 6 5
¢ 4 14 5 10
D 2 19 2 13

Calculate : (i) GFR ; (ii) SFR ; (iii) TFR and (iv) general reproduction rate from the following data :

Age group of child

bearing females : 15-19 20-24 25-29 30-34 35-39 40-44 45-49
Number of

women (’000) 7 46 16.4 15.8 15.2 14.8 15 14.5
Total births : 260 2244 1894 1320 916 280 145

An article manufactured by a company consists of two parts A and B. In the process of manufacture
of part A. 9 out of 100 are likely to be defective. Similarly, 5 out of 100 are likely to be defective in
the manufacture of part B. Calculate the probability that the assembled part will be defective.

(2 x 12 = 24 marks)