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 5.8 Variable Cells Cell Name Original Value Final Value $B$3 x1 0 2 $C$3 X2 0 1.8 Integer Contin Contin Constraints Cell Name $D$6 x1+x2 $D$7 x2-x1 $D$8 3x1+5x2 $D$9 x1 Cell Value 3.8 -0.2 15 2 Formula Status Slack $D$6>=$F$6 Not Binding 2.8 $D$7