For the following statements, CIRCLE or Box \"T\" if one is true or \"F\" if it

Question

For the following statements, CIRCLE or Box "T" if one is true or "F" if it is false. DO NOT provide any explanation. T F Consider the following problem: min f(x, y, z) s.t. h (x, y, z) = c g(x, y, z) lessthanorequalto d The optimized function value never becomes higher when c becomes higher. T F Consider the following problem min f(x, y, z) s.t. h (x, y, z) = c g(x, y, z) lessthanorequalto d The optimized function value never becomes higher when d becomes higher. T F For a convex function f(x), a relative minimum point is always a global minimum point. T F For a convex function f(x), a global minimum point is always a relative minimum point. T F For a function f(x), if at a point x, the first order necessary conditions are satisfied and the Hessian matrix is positive semidefinite, this point is never a global minimum point.

Explanation / Answer

1. a) True

b) True

c) False

d) True

e) True   

As you did not asked for any explaination. These are the answers that are provided by me so far

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