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f-x-y-z-x-p-z-y-p-z-4x-3-p-z-4y-3-p-z-4-x-y-2-y-x-p-x-y-c-x-y-1-x-y-2-x-2-y-2-Determine-x-y-z-such-that-f-is-maximum-c-is-a-const

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Question Number 63015 by ajfour last updated on 27/Jun/19
f(x,y,z)= x(p+z)+y(p−z) +((4x^3 )/(p+z))+((4y^3 )/(p−z))+4(x+y)^2 (y−x) ∀ p(x,y)=c+(x−y)(√(1+(x+y)^2 )) +(x^2 −y^2 ) Determine x,y,z such that f is maximum. (c is a constant). Assume y≥x.
f(x,y,z)=x(p+z)+y(p−z)+4x3p+z+4y3p−z+4(x+y)2(y−x)∀p(x,y)=c+(x−y)1+(x+y)2+(x2−y2)Determinex,y,zsuchthatfismaximum.(cisaconstant).Assumey⩾x.

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