Which of the following statement(s) is true? a) A local optimum for an optimizat
ID: 3281817 • Letter: W
Question
Which of the following statement(s) is true?
a) A local optimum for an optimization problem is the best point in the feasible region.
b) There is no guarantee that a solution of a linear programming model obtained from Solver is a global solution.
c) The function f(x)=||(a1'x-y1)+(a2'x-y2)+...+(aN'x-yN)||_{2}, given a set of vectors {a1,a2,...,aN} and a set of scalars {y1,...,yN} is a convex function of x. Here, ||.||_{2} is the Euclidean norm.
d) Supposed that f is a convex function, and suppose that h is a convex and nonincreasing function. Then the composite function g(x)=h(f(x)) is a convex function of x.
Explanation / Answer
ANSWER:
OPTION D
Suppose that f is a convex function, and suppose that h is a convex and nondecreasing function. Then the composite function g(x)=h(f(x)) is a convex function of x.
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