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Question 8 [ 8 ] Consider the following NLP: Minimise f ( x , y ) = x 2 + y 2 - 6 x

Question 8[8]
Consider the following NLP:
Minimise
f(x,y)=x2+y2-6x-14y
subject to the constraints
x+y2,
x+2y3.
Solve the NLP problem by considering the following cases only, case-one: 1=0=2
and case-two: 1=0 and 20; in each case state whether you accept or reject the
obtained solution and use the given constraints to justify your decision.
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