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Trying to maximize function with binomia...

sciencectn 5 Maple
October 17 2012
2 3

So I've got this function here:

binomial(37, x-105)*.85^(142-x)*.15^(x-105)

I'm trying to maximize it over the reals using Maple 16. I know from the graph that the maximum is somewhere between 109 and 111. I tried using maximize( f(x), x=109..111) but it keeps giving an overflow exception. How would I go about maximizing this?

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