Question: Y 6 5 Objective Const 1 Const 2 Total 510 120 240 RHS 120 240 N JP 2 3 30 Y 60 Variable Cells Name

Y 6 5 Objective Const 1 Const 2 Total 510 120 240

Y 6 5 Objective Const 1 Const 2 Total 510 120 240

Y 6 5 Objective Const 1 Const 2 Total 510 120 240 RHS 120 240 N JP 2 3 30 Y 60 Variable Cells Name Cell $E$11 x $F$11 Y Final Reduced Objective Allowable Allowable Value Cost Coefficient Increase Decrease 30 0 7 1 60 0 6 1.5 3.5 Constraints Cell Name $G$7 Const 1 Total $G$8 Const 2 Total Final Shadow Constraint Allowable Allowable Value Price R.H. Side Increase Decrease 120 0.75 120 120 40 240 1.75 240 120 120 Use this output to answer the following questions: (a) How many units of X and Y should be produced based on the computer output results? What is the optimal value (Z)? (b) How much could the coefficient value (c) of X increase or decrease without changing the values of X and Y in the optimal solution? (c) What will be the new optimal value (Z) if the coefficient value of X increased by 2 units? (d) How much the right-hand side of constraint I can decrease or increase without changing the basic and non-basic solution sets? (e) What are the shadow prices for each resource (constraint)? (f) If the right-hand side of constraint I were increased by 4 units, how much would the profit increase? (g) If the right-hand side of constraint 2 were decreased by 8 units, how much would the profit decrease

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