A process includes 9 tasks and there are 3 workers. Each task can be assigned to only one worker and each worker must be assigned consecutive tasks. You need to balance the line by assigning the 9 tasks to the 3 workers in such a way to optimize capacity per hour. The time to complete tasks 1 to 9 (in seconds) are as follows: 80, 50, 30, 25, 55, 15, 45, 105, 40

Reqiured:
What is the capacity of this process in units per hour?

The capacity of this process in units per hour is:

= 2.43 tasks per worker hour.

Explanation:

a) Data and Calculations:

Number of tasks in the process = 9

Number of workers available = 3

Thus, each worker will accomplish 3 tasks (9/3)

Total time to accomplish the 9 tasks = Sum(80, 50, 30, 25, 55, 15, 45, 105, 40) = 445 seconds or 1.236 hours

Therefore, the capacity of the process per hour = 9/(1.236 * 3) = 9/3.708

= 2.43 tasks per worker hour