Mark asked in Science & MathematicsMathematics · 5 months ago

# Find the maximum and minimum value of xy(a-x-y).?

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• Vaman
Lv 7
5 months ago

Take first derivative. But it is not equation form. You must write it as xy(a-x-y)= ?. If it is not given then it will not be possible to find a maxima or minima of this equation.

• atsuo
Lv 6
5 months ago

For example , let a = 0 and y = -1 .

So f = xy(a-x-y) = -x(-x+1) = x^2-x = x^2(1-1/x) , therefore

if x increases then f goes to +inf .

That is , f does not have the maximum value .

For example , let a = 0 and y = 1 .

So f = xy(a-x-y) = x(-x-1) = -x^2-x = -x^2(1+1/x) , therefore

if x increases then f goes to -inf .

That is , f does not have the minimum value .

I think some condition is needed for your question .