Question: minimization problem

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!

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