Hours spent calling professionals

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A life-insurance salesman spends 9 hours a week on the telephone soliciting new clients. From past experience, the salesman estimates that each hour spent calling students, blue-collar workers, and professionals will produce the following number of additional sales: Number of Additional Sales Hours calling Students Blue-collar workers Professionals 1 10 8 14 2 8 6 11 3 6 4 8 4 4 3 6 5 1 1 4 6 0 0 1 a. How should the life-insurance salesman allocate his phone calling time to maximizing the number of sales? Hours spent calling students=? Hours spent calling blue collar workers=? Hours spent calling professionals=? b. Now suppose the salesman decides to spend 16 hours a week soliciting new clients. How should he allocate his time? Hours spent calling students=? Hours spent calling blue-collar workers=? Hours spent calling professionals=?

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