Tuesday
September 23, 2014

Homework Help: calculus

Posted by Jenny on Tuesday, December 14, 2010 at 8:41pm.

Two positive numbers have a sum of 60. what is the maximum product of one number times the square of the second number?
a) 3481
b) 3600
c) 27,000
d) 32,000
e) 36,000

So Idk if this is right, but I have ....
x+y=60
p=xy^2
p=x(60-x)^2
P'=-2x(60-x)+(60-x^2)
x=.5021 x= 119.498
idk if this is right so far, or if i forgot something. how do I find the max product?

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