Question: MATLAB Question You are given the function ( 1 , 2 ) = 2 1 2 2 1 2 + 2 2 2 6 1

MATLAB Question

You are given the function (1, 2) = 212 212 + 222 61 + 6

1) Find the minimum of the function when 4 1, 2 4

2) Find the minimum of the function when in addition to the variable bounds you also need to satisfy the equality constraint: 1 + 2 = 2

3) Compare the minima you obtain in (1) and (2)

4) Plot the contours of the function, the constraint and the two minima in order to explain what happened

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