Answer any 2 out of the 3 sub-questions (Each sub-question carries 5 marks) 5 a) For the first year, the fixed cost for setting up a new electronic calculator's company is Rs.3,00,000. The variable cost for producing a calculator is Rs.70. The company expects the revenue from the sales of the calculators to be Rs.270 per calculator. Find the minimum number of calculators that should be produced and sold in the first year to ensure no loss. b) The following table gives the Index numbers of industrial production in a country and the number of registered unemployed persons in the same country during the eight consecutive years. Calculate the coefficient of correlation and comment on the result. Year 1954 1955 1956 1957 1958 1959 1960 1961 Index Industrial of 100 102 103 105 106 104 103 98 production Index of 10.5 11.4 13.0 11.5 12.0 12.5 15.6 20.8 registered unemployed (in thousands) c) Solve Second order derivative of function Y-3xe + e'logx+5x