The shaded region in following figure illustrates the unbounded feasible region of a linear programming problem. Given the objective function P = %3D 2x + 3y, which of the following is TRUE? * I. The...

Extracted text: The shaded region in following figure illustrates the unbounded feasible region of a linear programming problem. Given the objective function P = %3D 2x + 3y, which of the following is TRUE? * I. The maximum of P is 18 at A = (0, 6). II. The minimum of P is O at O = (0, 0). II. The maximum of P is 21 at D = (7, 0). IV. The minimum of P is 11 at C = (4, 1). A (0,6) S B (2,3) C (4,1) O (0,0) D (7,0) O I only O Il and III III and IV O IV only