2. 2+1 +4 + 3 = 10 a) Sometimes the pay-off elements of an assignment problem may represent sales volume instead of cost- Resolve it with example. b) Assignment problem has some limitations- explain it. c) A company has six programmers (P) who are to be assigned to six different programs (W). The program completion duration of these programmers are shown in the following table: W W4 W2 W3 W5 W6 P 12 4 13 18 9 2 P2 9 16 10 11 15 11 P3 4 9 10 8 9 7 P4 9 3 12 6 4 5 Ps 7 11 5 18 2 7 P6 16 8 4 5 1 10 Requirements: i. Suggest optimum assignment allocation and the total minimum assignment time. ii. If programmer Pz cannot be selected for the program W4, will the optimum assign schedule be different? Explain your answer. d) The demand for a seasonal product is as given below: Demanded during the season 1 2 3 4 5 Probability 50 60 75 40 75 The product cost Tk.60 per unit and sells at Tk.90 per unit. If the units are not sold within the season, they will have no market value. Determine the action alternative associated with the maximum possible expected profit and also with the minimum expected regret