the subject is Operation research

please the solution is cleare and step by step

Homework on sensitivity analysis Company has two products A and B. To produce one unit of A, X2 2 units of material m1 and 4 units of material m2 are required. 3x1+2x2=12 F(0,6) To produce one unit of B, 3 units of material m1 and 2 units of material m2 are required. Only 12 units of material m1 and 12 units of material m2 are available. Material m1 cost Rs. 2.50 "D(0,3) 2x1+4x2=12 per unit and Material m2 cost Rs. 0.25 per unit respectively. C13,1.5) If x1 = number of units produced from A and x2 = number of units produced from A. A(0,0) E16,0) B(4,0) The formulation of the company problem can be obtained in the form Max Z = 3x1 + 4x2 Subject to 2 x1 +4x2 = 12, (product A) 3x1+2x2 = 12, (product B) and x1, x2 > 0. Under the information you have above, choose the correct answer for the questions (1-4): 2 3 Under the information you have above, choose the correct answer for the questions (1-4): 1. The optimal solution at the point A. (0,0) B. (4,0) C. (3,1.5) D. (3,0) 2. The visibility range for the product A constraint in which the dual price remain valid is A. (44,50) B. (6,100) C. (10,16) D. (12,24) 3. The ratio C1\C2 that keep the current optimum unchanged lies between A. (1,2) B. (0.5,2) C. (0.5,1.5) D. (1,3) 4. If the optimum solution for the objective function in the form maximize Z = 4X, +6X2 under the original constraints is A. 8 SR B. 13 SR C. 21 SR D. 44 SR