Question

You are asked to assess the current service model for a manufacturing line featuring 8 machines. Based on empirical data you have determined that machines have a 23% likelihood of being down and in need of repair. There are currently 2 workers capable of running and repairing machines. Each of the 8 machines can produce 18 units/hour. The overhead for running each of the 8 machines is $713 per day per machine. Each operator is paid at an hourly rate of $15. [You can assume an 8-hour work day]
a. Determine the total amount of lost work time.
b. Should you hire an additional worker to run the 8 machines in this manufacturing line?

Answer 1

Answer:

A) 14.72 hours

B)  An additional worker should be hired since the lost work time is 14.72 hours

Explanation:

Number of machines on manufacturing line = 8

percentage of machine been down = 23%

number of workers capable of running and repairing machines = 2

machine productivity ( per machine ) = 18 units/hour

overhead cost / machine = $713

hourly rate paid per worker  = $15

Total number of work hours = 8 hour

A) calculate Total amount of lost worktime

 = number of machines * Total number of work hours * 23%

= 8 * 8 * 23% = 14.72  hours

B) An additional worker should be hired since the lost work time is 14.72 hours