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Idealist
If the sum of two numbers x and y is 12, what is the maximum product of (x^3)(y)?
x+y=12 seek to optimize (x^3)(y) remember that =12-x
I mean, y=12-x, sorry.
x^3(12-x), what's the next step? How do I find x and y?
Remember: you seek to maximize p(x)x^3(12-x) thus you search for where p'(x)=0
Well, not necessarily always p'(x)=0, but in thsi case you seek it.
correction: p(x)=x^3(12-x) my apologies openstudy is lagging today and not responding well to my keyboard.
y = 12-x. f(x) = (x^3)y = (x^3)(12-x). Find the first derivative of f(x). try to find out where x has the absolute maximum. then once u find that x, plug it into y=-x+12 to find y
looks the max value will be 3^7
@RadEn , both of us were trying to not blurt out the answer :/