Question: 1- Consider a constrained optimization problem with objective function F. Suppose that there is a unique solution x to this constrained optimization problem. Now, consider

1- Consider a constrained optimization problem with objective function F. Suppose that there is a unique solution x to this constrained optimization problem. Now, consider a solution y to the unconstrained problem. Then the following is true:

a/ F(x) F(y)

b/ F(y)F(x)

c/F(x)> F(y)

d/ Cannot be determined.

2- Consider a constrained optimization problem with objective function F. Suppose that there is a unique solution x to this constrained optimization problem. Now, consider a solution y to the optimization problem whose constraint set lies within the original constraint set. Then the following is true:

a/ F(x) F(y)

b/ F(y)F(x)

c/F(x)> F(y)

d/ Cannot be determined.

Please I need help with my questions ? explain the method for it?

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