1. Let Q = {x € R : Ax = b} and min c^Tx. Find all points satisfying in the First and Second Order

x£Q
Necessary Conditions.

1. Let f (x) = c^Tx. Show that if c ≠ 0, then we can not have an optimal solution lying in interior of Q,
   where Q = {x : x € R, Ax = b, x ≥ 0}.
   
   1. (Steiners problem) In the plane of a given triangle, find a point such that the sum of its distances
      from the vertices of the triangle is minimal.
   2. Give an illustrative example for each of the following problems that formulated by a nonlinear
      program: Discrete optimal control, Water resources management, Stochastic resource allocation,
      Location of facilities, Portfolio optimization and Selection problem.

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