Mathematics

A travel agency offers group tours at a rate of $60/person for the first 30 participants. For longer groups-up to 90-each person receives a$0.50 discount for every participant in excess of 30. For example, if 31 participate, the cost/person is $59.50. Determine the size of the group that will produce the maximum amount of money for the agency.

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  1. revenue for x>=30

    r = x(60-0.50(x-30))
    = .5x(150-x)

    max r at x=75

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    posted by Steve

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