2- Consider a toy manufacturing process that requires 12 operations. The time per operation and precedence is given in the table below. Assume the plant is targeting to produce 480 toys per day (assume 8 hours/day). Operation Preceded By t(mins) 0.2 1 2 0.4 3 0.6 1 4 0.1 1,2 5 0.3 2. 6 0.11 3 7 0.32 3 8 0.6 9 0.27 3,4 6,7,8 5,8 10 0.38 11 0.5 9,10 12 0.12 11 a) (10 points) determine the cycle time. b) (10 points) Determine the theoretical minimum (TM) number of required stations to meet the production goal. c) (10 points) Draw a precedence diagram from the data listed in the table. d) (20 points) Use the largest-candidate rule (LCR) to determine an optimal number of work stations and which operations are performed at each station