# How do you do? - 2

Algebra Level 5

$I = xyz \\ J = xy^2 z \\ K = xyz^3$

Find the sum of the maximum values of the expression $$I$$, $$J$$, and $$K$$ if positive reals $$x,y,z$$ are constrained by $$2x + 3y + 4z = 60$$.

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