Consider the following quadratic programming problem: max f(x) = 20x, -20x² +50x, -50x₂² +18x₁x₂ s.t. x₁ + x₂ ≤6 x₁ +4x₂ ≤18 xx₂20 Suppose that this problem is to be solved by the modified simplex method. (a) Formulate the linear programming problem that is to be addressed explicitly, and then identify and additional complementary constraint that is enforced automatically by the algorithm. [10%] (b) Apply the modified simplex method to the problem as formulated in (a) for ONE iteration. [10%]
