As part of a major plant renovation project, the industrial engineering department has been asked to balance a revised assembly operation to achieve an output of 250 units per 7-hour day. Task times and precedence relationships are as follows:

Do each of the following:

a. Draw the precedence diagram.

b. Determine the minimum cycle time, the maximum cycle time, and the calculated cycle time.

c. Determine the minimum number of stations needed.

d. Using the calculated cycle time, assign tasks to workstations on the basis of most following tasks. Use shortest processing time as a tiebreaker. Indicate the workstations on the precedence diagram.

e. Compute the percent efficiency and percent idle time for the assignment in part D. Note: if the calculated cycle time and the actual bottleneck station time are different, use the actual bottleneck time in your calculations

Task Duration (minutes) Immediate Predecessor abcdefg0.50.40.20.41.41.31.4abdce,f