The follwoing reports were generated using Excel Solver for the follwoing LP problem Min Z= 5x1 + 3x2 Subject to: 2x1 +2x2 28 3x1+x2 26 4x1+2x2 s 12 X1, X220 Please read these tables and answer the following questions: 1) Please classify slack and surplus variables for all constraints and list the value for each constraint [1 points] 2) Calculate range of optimality for this problem and explain its meaning in 1-2 sentences [1.5 points] 3) Calculate range of feasibility for this problem and explain its meaning in 1-2 sentences [1.5 points] 4) What is the meaning of shadow price for THIS LP problem [2 points] (Hint: do not use general definition of the shadow price, rather use the numbers from this problem to expalin what happens) 5) What is the change on the Z value for the following changes in the parameters [2 points]: (a) change RHS for constraint-1 from 8 to 10; (b) change RHS for constraint-3 from 12 to 27 6) True or false (c) True or false: if we change the Z function from Min Z= 5x1+ 3x2 to Min Z= 8x1+ 3x2 ,then the optimal solution will not change and remains x1=1 and x2=3 (d) True or false: if we change the Z function from Min Z= 5x1+ 3x2 to Min Z= 5x1+ 6x2 then the optimal solution will not change and remains x1=1 and x2=3 + Slack Cell Name $C$18 Constraint-1 $C$19 Constraint-2 $C$20 Constraint-3 Cell Value Formula Status 8 $C$18>=$E$18 Binding 6 $C$19>=$E$19 Binding 10$C$20