A large manufacturer of pencil sharpeners is planning to add a new sharpener, and you have been asked to balance the assembly line, given the following task times and precedence relationships. Assume that cycle time is 1.3 minutes per units.

a. Do each of the following:
i. Draw the precedence network.
ii. Assign the tasks to workstations rising the heuristic rule “Assign the task with the most followers.” Break ties using tire heuristic rule "Assign tire task with the longest time.”
iii. Determine the percentage idle time.
iv. Calculate the rate of output that could be expected for this line assuming a 420-minute working day.
b), Answer these questions:
i. What is the shortest cycle time that will permit use of only two workstations? Identify the tasks you would assign to each workstation.
ii. Determine the percentage idle time that would result if two workstations were used.
iii. What is the daily output under this arrangement?