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Problem 1 [200] Answer the following questions using the LINDO Sensitivity information on the next page 10 51001 Using the 100% Rule, determine the optimal value of the objective function and the values of the decision variables when the cost coefficient for X1 increases by 2.7, the cost coefficient for X2 decreases by 2.1 and the cost coefficient for X3 increases by 6.0. 1b [100] Using the 100% Rule, determine the optimal value of the objective function when the right-hand side of constraint ONE increases by 3.5, that of constraint TWO decreases by 2.1, and that of constraint TRE increases by 2.0. What would happen to the value of the decision variables? Use the following Sensitivity Analysis report to answer the questions in this Problem. LP OPTIMUM FOUND AT STEP 2 OBJECTIVE FUNCTION VALUE Z) 178.0000 VARIABLE VALUE REDUCED COST X1 8.000000 0.000000 X2 0.000000 8.000000 X3 2.500000 0.000000 ROW SLACK OR SURPLUS DUAL PRICES ONE) 51.000000 0.000000 TWO) 5.500000 0.000000 TRE) 0.000000 - 10.000000 FUR) 0.000000 4.000000 FIV) 11.000000 0.000000 SIX) 9.500000 0.000000 RANGES IN WHICH THE BASIS IS UNCHANGED: OBJ COEFFICIENT RANGES VARIABLE CURRENT ALLOWABLE ALLOWABLE COEF INCREASE DECREASE X1 16.000000 4.000000 INFINITY X2 8.000000 INFINITY 8.000000 X3 20.000000 INFINITY 4.000000 RIGHTHAND SIDE RANGES ROW CURRENT ALLOWABLE ALLOWABLE RHS INCREASE DECREASE ONE 72.000000 INFINITY 51.000000 TWO 16.000000 INFINITY 5.500000 TRE 21.000000 11.000000 5.000000 FUR 8.000000 2.500000 8.000000 FIV 11.000000 INFINITY 11.000000 SIX 12.000000 INFINITY 9.500000 Problem 1 [200] Answer the following questions using the LINDO Sensitivity information on the next page 10 51001 Using the 100% Rule, determine the optimal value of the objective function and the values of the decision variables when the cost coefficient for X1 increases by 2.7, the cost coefficient for X2 decreases by 2.1 and the cost coefficient for X3 increases by 6.0. 1b [100] Using the 100% Rule, determine the optimal value of the objective function when the right-hand side of constraint ONE increases by 3.5, that of constraint TWO decreases by 2.1, and that of constraint TRE increases by 2.0. What would happen to the value of the decision variables? Use the following Sensitivity Analysis report to answer the questions in this Problem. LP OPTIMUM FOUND AT STEP 2 OBJECTIVE FUNCTION VALUE Z) 178.0000 VARIABLE VALUE REDUCED COST X1 8.000000 0.000000 X2 0.000000 8.000000 X3 2.500000 0.000000 ROW SLACK OR SURPLUS DUAL PRICES ONE) 51.000000 0.000000 TWO) 5.500000 0.000000 TRE) 0.000000 - 10.000000 FUR) 0.000000 4.000000 FIV) 11.000000 0.000000 SIX) 9.500000 0.000000 RANGES IN WHICH THE BASIS IS UNCHANGED: OBJ COEFFICIENT RANGES VARIABLE CURRENT ALLOWABLE ALLOWABLE COEF INCREASE DECREASE X1 16.000000 4.000000 INFINITY X2 8.000000 INFINITY 8.000000 X3 20.000000 INFINITY 4.000000 RIGHTHAND SIDE RANGES ROW CURRENT ALLOWABLE ALLOWABLE RHS INCREASE DECREASE ONE 72.000000 INFINITY 51.000000 TWO 16.000000 INFINITY 5.500000 TRE 21.000000 11.000000 5.000000 FUR 8.000000 2.500000 8.000000 FIV 11.000000 INFINITY 11.000000 SIX 12.000000 INFINITY 9.500000