u \"M\" For the fol lowingquestions, consider the linear programming below. Make su re to include the sensitivity and limit reports on your calculations le for grading. Maximize 50A + SUB s.t. Constraint 1 12A + 208 s 1000 Constraint 2 20A 5 900 Constraint 3 12A + 103 S 800 Constraint4 153 S 850 A, B Z 0 What is the optimal solution for this LP? 4 points What is the optimal value of the objective function? 3200 2800 3600 3400 n 4 points What are the optimal values of the two decision variables? A=45,B= 56.66? A=45,B=26 A=45,B=23 A=45,B=0 4 points Based on the results of your sensitivity analysis, what are the ranges of optimalityfor this LP? [30! 50} [20, x] [20, 50) [30, x] 10 4 points Based on the results of your sensitivity analysis, what are the ranges of feasibility for constraint 1 on this LP? O (420, 460) O (540, 1420) O (422.5, 447.50) O (0, 420) 11 4 points Based on the results of your sensitivity analysis, what are the ranges of feasibility for constraint 4 on this LP? O (505, 850) O (0o, 505) O (345, 850) O (345, 0) 12 4 points What constraints are binding? O Constraints 1 and 4 O All constraints are binding O No constraints are binding O Constraints 1 and 2