I have solved the equation however, I am not sure I did it correctly could someone kindly go through this to see if I understood the material correctly? thank you

3. You are given the parameters below. By using Solver, develop a simple LP and answer the questions. Don't forget to add the sensitivity analysis reports: (3 points each) MAX 8x + 10y MAX 8x+10y X LHS TRUE RHS X IY LHS TRUE RHS s.t 70 50 1060 Constraint 1 120 S 120 0 120 1200 Constraint 1 120 120 S 120 Constraint 2 100 S 100 Constraint 2 240 250 2 IA 100 Constraint 3 70 500 Constraint 3 0 500 X S 500 A.B > 0 a. What is the objective function? X Y LHS TRUE RHS 8x+10y 70 50 1060 Constraint 1 120 120 b. How many of variable X are optimal? Constraint 2 100 100 70 Constraint 3 70 350 c. How many of variable Y are optimal? 50 d. What is the optimal value of the objective function? 1060 X Y LHS TRUE RHS e. What are the ranges optimality? 75 50 1100 Constraint 1 125 125 X ( 62,72) Constraint 2 100 100 Y( 48, infinite) Constraint 3 75 500 . What are the ranges of feasibility? 120 10 500 g. Which constraints are binding? Constraint 1 and 2 h. Would it be beneficial to increase the maximum value of constraint 2 to 250? Explain. Would the optimal value (total) change? If yes, by how much? The optimal value would change appoximately 140, but at the price of having a surplus in constraint 2 of 10, and constraint three having used none. i. Would it be beneficial to decrease the minimim value of constraint 3 to 350? Explain. Would the optimal value would change (total)? If yes, by how much? The optimal value would stay the same, therefore reducing constraint three does not effect it much. The only thing we will be in a surplus of 280 for constraint 3. j. What would happen if we would change the RHS of constraint 1 to 125? Would the optimal value (total) change? If yes, by how much? By changing constraint 1 to 125 it does change the optimal value about 40. Affecting only the third constrain with 425 surplus