I have been struggling to solve this problem.
I want to minimize this function for w, x and y:
((w^2)/2)+((a/3)*x^3)+(2by)+((2a/3)*y^3)
Subject to w+x+2y=1
Where a and b are positive constants
And also, I want to minimize this function for w, x, y and z:
((3w^2)/2)+((2a/3)*x^3)+(by)+(ay^3)+(bz)+((a/2)*z^3)
where a and b are positive constants.
I've tried a ton of stuff on maple and have been unable to figure it out. Any help is greatly appreciated!
