i. Question 2 Mark: 5+5+ 15 = 25 State the condition of the requirement of the basis vectors for the solution of an LP problem with four general constraints in six variables in addition with the non- negativity constraints. ii. Considering a firm that makes three products, and has two machines available as resources, the following LP problem is formulated to maximize the profit by utilizing the resources. Maximize 4x1 + 4x2 + 7x3 Subject to X1 + 7x2 + 4x3 >= 100 2x1 + x2 + 7x3 =0, x2 >=0, X3 >=0 a) Set up the initial Simplex table. b) Find the optimal solution to this problem by the Simplex method