Exercises Answer the following questions based on the sensitivity report given associated with the linear programming below. Max SR + 8C R+ WC 3900 Cutting and sewing VR+VC 300 Finishing VR+VC S 100 Packaging and shipping RC >0 Variable Calls Reduced Osjethe Celica R 500.00 Gloves Standard Gloves une DO 2000 4.667 Conta Shadow Cerit Abowe Allowable Nur Cung und Linn Und Finishine Heartland 725 000 100.000 100 a. What is the optimal solution, and what is the value of the total profit contribution? b. Determine the objective coefficient ranges. c. Interpret the ranges in part (b). d. If the objective coefficient of becomes 8, what happens to the optimal solution? What happen to the value of the optimal solution? e. If the objective coefficient of R becomes 3, what happens to the optimal solution? What happen to the value of the optimal solution? f. If the objective coefficient of becomes 4, what happens to the optimal solution? What happen to the value of the optimal solution? g. What is the value of the optimal solution if the objective coefficient of R becomes 10? h. If the objective coefficient of becomes 9 and the objective coefficient of becomes 7 at the same time, what happens to the optimal solutions and value of the optimal solution? i. Determine the RHS ranges for each constraint. j. Which constraints are binding? k. What are the shadow prices for the resources? Interpret each. L. If the RHS of the first constraint becomes 1500, define the values of the shadow price and value of the optimal solution m. If the RHS of the second constraint becomes 180, define the values of the shadow price and value of the optimal solution. n. If the RHS of the second constraint becomes 136, define the values of the shadow price and value of the optimal solution. 0. If the RHS of the third constraint becomes 136, define the values of the shadow price and value of the optimal solution. p. How much will the value of the optimal solution improve if 20 extra hours of packaging and shipping time are made available? 9. How much will the value of the optimal solution improve if 40 extra hours of finishing hours used are made available? r. If overtime can be scheduled in one of the departments, where would you recommend doing so