Note: Show your work to earn full credit. Computer output for the optimal solution of the following LP problem is given in the attached 2nd age page. Min 0.25 +0.50E + 3.00A s.t. 0.80S + 0.20E 3 Ingredient A 1.00S + 1.50E +3.00A Ingredient B 0.10S + 0.60E +.2.00A Ingredient S + E + Weight SE, A 0 IVIAIVIM OOO (A) (4 points) Give your comments on the effect of increasing the objective function coefficient of the first decision variable, S by 2.00? Why? (B) (4 points) What is the range of feasibility for the right hand side of the zit constraint? (C) (4 points) Give the optimal solution for the problem. (D) (4 points) Give your comments on the effect of changing the right hand side of the Ist constraint to 3.3. (E) (4 points) What will happen to the optimal values of the variables and objective function if the objective function coefficient of A is decreased to 1.5? Why? objective Function Value = 5.973 Variable Value Reduced Costs S E 3.514 0.946 1.541 0.000 0.000 0.000 Constraint Slack/Surplus Dual Prices 1 2 0.000 3.554 0.000 0.0001 3 -1.216 0.000 -1.959 0.919 4 OBJECTIVE COEFFICIENT RANGES Variable Lower Limit Current Value Upper Limit S E A -0.393 No Lower Limit 1.522 0.250 0.500 3.000 No Upper Limit 0.925 No Upper Limit RIGHT HAND SIDE RANGES Constraint Lower Limit Current Value Upper Limit 1 2 3 4 1.143 No Lower Limit 2.100 5.562 3.000 6.000 4.000 6.000 3.368 9.554 4.875 8.478