Consider the problem in the set minimize a (x-1)- S={(x, y) x + y 0, x...

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Consider the problem in the set minimize a (x-1)- S={(x, y) x + y 0, x + y <1}. :- 1 (3.1) Find the two points where both constraints are active. (3.2) Use the Kuhn-Tucker conditions to determine the values of a for which those two points are local minima. (3.3) Solve the Kuhn-Tucker conditions for minimize (x-2)+2y-1 subject to Do the solutions provide a minimum. y=x+2 x + 2y 3 (6) (8) (11) forl Consider the problem in the set minimize a (x-1)- S={(x, y) x + y 0, x + y <1}. :- 1 (3.1) Find the two points where both constraints are active. (3.2) Use the Kuhn-Tucker conditions to determine the values of a for which those two points are local minima. (3.3) Solve the Kuhn-Tucker conditions for minimize (x-2)+2y-1 subject to Do the solutions provide a minimum. y=x+2 x + 2y 3 (6) (8) (11) forl