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Qs from Mathematical Programming? Find the minimum value of P(x,y,z)=Z+1/2(x^2+ y^2+1/10 z^2) constrained by and where r is a positive constant. Solve the problem when r=1, r=5. Can you find the solution for general r? (Note this is a mixed Kuhn-Tucker/ Lagrange problem. The inequality constraints are not trivial and must be taken into account.)

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