A company plans to have a strength of 80 sales persons over time. The people employed by the company leave their job, the distribution of which is assumed to be as follows:

Using this information, answer the following questions:

(a) What recruitment level per annum would be necessary to maintain this strength?

(b) If 15 of the sales persons are to be promoted to the next higher post, for which length of service in the organisation is the primary criterion, at what average length of service can a new entrant expect to be promoted?

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Year % Expected to Leave by End of Period 1 2 3 4 5 6 7 8 9 5 18 35 45 95 62 75 88 90 95 62 90 10 10 11 12 96 96 99 100