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find two positive real numbers whose product is a aximum and whose sum is 138
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a+b=138 ab ----> maximize
no i am in precalc
our options are a) 67,71 b) 69,69 c)74,64 d)78,60 e)57,81
The highest point is the vertex, so that what we should find
(138-b)b=138b-b^2 -b/2a
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You could also use the fact that given a perimeter, the largest area is a square. So to maximize a*b, then a should equal b. a=b=69
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