Task 1 1. Product network of a given factory is shown in Figure 1. Note that...

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Task 1 1. Product network of a given factory is shown in Figure 1. Note that weekly demand, unit selling price, raw material cost, and unit operation time on machines A, B, and C are all given in the figure. Weekly capacity of machines is 40 hours. RM1 $40/unit A A Product M *$100/unit 15 min 10 min 90 units/week RM2 $20/unit 5 min B Product N $110/unit 100 units/week 10 min a) Analyze this network and decide what weekly production plan (product mix) should be in order to maximize profit. What is the constraint in this system? b) The described system is modified in such way that machine B can work only 4 days per week (32 hours) due to necessary repair. What is the optimal production plan (product mix) in this case? What is the constraint? c) The marketing department in the original system expanded the new market, which allowed the selling price for product M to be $120/unit. What is the optimal production plan for this case? Task 1 1. Product network of a given factory is shown in Figure 1. Note that weekly demand, unit selling price, raw material cost, and unit operation time on machines A, B, and C are all given in the figure. Weekly capacity of machines is 40 hours. RM1 $40/unit A A Product M *$100/unit 15 min 10 min 90 units/week RM2 $20/unit 5 min B Product N $110/unit 100 units/week 10 min a) Analyze this network and decide what weekly production plan (product mix) should be in order to maximize profit. What is the constraint in this system? b) The described system is modified in such way that machine B can work only 4 days per week (32 hours) due to necessary repair. What is the optimal production plan (product mix) in this case? What is the constraint? c) The marketing department in the original system expanded the new market, which allowed the selling price for product M to be $120/unit. What is the optimal production plan for this case?