Consider the following precedence diagram. The tasks given are to be assigned to workstations with the intent to minimize the idle time. The management team has planned an output rate of 275 units per day. Assume 440 minutes are available during each day. Task times in minutes (m) a = 0.3 m b = 0.6 m c = 0.4 m d = 01.2 m e = 0.2 m f = 0.6 m g = 0.1 m h = 0.5 m i = 0.3 m

i. Determine the appropriate cycle time.

ii. What is the minimum number of stations possible? (to the nearest whole number)

iii. Using the “positional weight” rule: Assign tasks with the highest following times (including a task’s own time) first. Break ties using the greatest number of following tasks.

iv. Compute the efficiency of the line.

For part iii use the following heading format Station Time Remaining Eligible Will Fit Assign/ Task Time Station Idle