30. A public sector bank requires 400 clerks, 250 officers and 50 managers for a certain state. The employees are recruited at the age of21 Years as clerks. The promotions take place only from within on the basis of the length of service. You are given the following life table.

Determine

(a) how many employees should be recruited each Year.

(b) at what age should the promotions take place.

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Age (years): 21 22 22 23 23 4 24 25 26 27 28 29 29 30 No. of employees in service: 1,000 640 560 450 400 355 300 205 190 182 Age (years): 31 32 33 34 35 36 37 38 39 40 No. of employees in service: 175 170 162 155 150 148 145 142 140 132 Age (years): 41 42 43 44 45 46 47 48 49 50 No. of employees in service: 125 118 112 105 101 100 95 90 88 85 Age (years): 51 52 53 54 55 56 57 58 59 60 No. of employees in service: 80 72 70 63 55 40 32 25 20 0