Exercise 10. Recall the GulfGolf problem introduced in Section 2.1 of the ASWWP3 textbook. The model for this problem is max 2 = 10x1 + 9:02 s.t. 0.7.71 + 22 0 where: x 1 ... number of standard bags and r2 ... number of deluxe bags The Final Tableau is: Basis Il C2 $1 S2 S3 84 RHS 22 0 1 0 0 S2 0 0 1 0 1.8751 -0.9375 -1.2501 -0.3438 -1.3125 0.15625 1.8750 0.1406 252 120 540 18 0 0 1 0 0 0 0 1 84 Z 0 0 4.3746 0 6.9378 0 7668 a. What is the optimal solution? b. What is the slack time in each operation? c. Calculate the range of optimality for the profit contribution of the standard bag. (1 [6.30, 13.50]) d. Calculate the range of optimality for the profit contribution of the deluxe bag. (c2 [6.67, 14.29]) e. If the profit contribution of the deluxe bag drops to 7 per unit, how is the optimal solution affected? (Z = 7164) f. What unit profit contribution would be necessary for the deluxe bag before the company would consider changing its current production plan? g. Calculate the range of feasibility for b1 (cutting and dyeing capacity). (61 [495.60, 682.36]) h. Calculate the range of feasibility for b2 (sewing capacity). (b2 [480,0)) i. Calculate the range of feasibility for b3 (finishing capacity). (63 (580, 900]) j. Calculate the range of feasibility for b4 (inspection and packaging capacity). (64 [117, 0)) k. Which of the four departments would you be interested in scheduling for overtime? Explain. 1. How much would profit increase if an additional 30 hours became available in the cutting and dyeing department? (AZ = 131.25) m. How much would profit decrease if 40 hours were removed from the sewing department? (AZ = 0) 4 4