Please read the question carefully before giving your answer. Only the techniques that you have learned in the course will be accepted! 04. (20 pts) Given the Excel Solver output: a) Give the mathematical model. Notel: The isn't any free variable (urs) in the primal model. Note: If a constraint is binding, then assign the sign of the constraint as equality. b) Give the dual of the LP that you find in part (a). Note3: Don't multiply a constraint by -1 to change the sign of the constraint of the primal model before finding the dual. c) Give the dual optimal solution (w* and y* values) based on the Excel Solver output. (Don't attempt to solve it!) Answer Report Objective Cell (Max) Cell Name Original Value Final Value $D$4 0 19.33333333 Variable Cells Cell Name Original Value Final Value Integer $B$3 x1 04.666666667 Contin $C$3 x2 0 0.666666667 Contin Constraints Cell Name $D$6 x1+2x2 $D$7 x1-x2 $D$8 2x1+x2 0 Cell Value Formula Status Slack 6 $D$6=$F$6 Binding 4 $D$7>=$F$7 Not Binding 1 10 $D$8=$F$8 Binding 0 Sensitivity Report Variable Cells Final Reduced Cost Cell Name Value $B$3 x1 4.666666667 $C$3 x2 0.666666667 Objective Allowable Allowable Coefficient Increase Decrease 4 1E+30 1E+30 1 1E+30 1E+30 0 0 Constraints Final Value Cell Name $D$6 x1+2x2 $D$7 x1-x2 $D$8 2x1+x2 Shadow Price 6 -0.666666667 4 0 10 2.333333333 Constraint Allowable Allowable R.H. Side Increase Decrease 6 1 1 3 1 1E+30 10 2 1