A manufacturer of microcomputers estimates that t months from now it will sell x thousand units of

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A manufacturer of microcomputers estimates that t months from now it will sell x thousand units of its main line of microcomputers per month, where x = .05t2 + 2t + 5. Because of economies of scale, the profit P from manufacturing and selling x thousand units is estimated to be P = .001x2 + .1x - .25 million dollars. Calculate the rate at which the profit will be increasing 5 months from now.

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Calculus And Its Applications

ISBN: 9780134437774

14th Edition

Authors: Larry Goldstein, David Lay, David Schneider, Nakhle Asmar

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