Problem: Using the information given below, answer the following questions: a) Assuming that each task requires a separate type of machine and we can only invest in a single type of each machine, what is the maximum capacity of a system used to produce this product. Assume the factory runs 3 shifts of 6 hours each and that the factory operates 300 days a year. (Note: A 15 mins break is observed during each shift) b) Assuming a cycle time (Tc) of 15 time-units, provide a line balancing solution for this problem using the LOB algorithm. Task Number Average Performance Time Number of Successors 2 3 4 5 6 7 8 9 5 3 6 8 10 7 1 S 7 6 4 5 3 3 2 0 0 Problem: Using the information given below, answer the following questions: a) Assuming that each task requires a separate type of machine and we can only invest in a single type of each machine, what is the maximum capacity of a system used to produce this product. Assume the factory runs 3 shifts of 6 hours each and that the factory operates 300 days a year. (Note: A 15 mins break is observed during each shift) b) Assuming a cycle time (Tc) of 15 time-units, provide a line balancing solution for this problem using the LOB algorithm. Task Number Average Performance Time Number of Successors 2 3 4 5 6 7 8 9 5 3 6 8 10 7 1 S 7 6 4 5 3 3 2 0 0