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13 Nov 2019
Consider the problem of maximizing f(x, y, z) = xyz + z, subject to constraints x2 + y2 + z <= 6, x >= 0, y >= 0,
and z >= 0.
(a) Write out a complete set of first order conditions for this problem. .
(b) Determine whether or not the constraint x2 + y2 + z<= 6 is binding at any solution.
(c) Find a solution of the first order conditions that includes x = 0.
Consider the problem of maximizing f(x, y, z) = xyz + z, subject to constraints x2 + y2 + z <= 6, x >= 0, y >= 0,
and z >= 0.
(a) Write out a complete set of first order conditions for this problem. .
(b) Determine whether or not the constraint x2 + y2 + z<= 6 is binding at any solution.
(c) Find a solution of the first order conditions that includes x = 0.
Sixta KovacekLv2
18 Jul 2019
