24.7k views
1 vote
Determine the number of containers needed for a workstation that uses 200 parts per hour, if the time for a container to complete a cycle (move, wait, empty, return, fill) is 45 minutes, and a standard container holds 53 parts. an inefficiency factor of 0.09 is currently being used. (round your answer up to a whole number.)

1 Answer

5 votes

Final answer:

To determine the number of containers needed, calculate the total parts used per cycle (150 parts) and adjust for inefficiency. The effective capacity is 48 parts/container. Dividing parts per cycle by capacity gives 3.125, which rounds up to 4 containers needed per cycle.

Step-by-step explanation:

To determine the number of containers needed for a workstation, we need to calculate the total parts used per cycle and the adjusted capacity considering the inefficiency factor. The workstation uses 200 parts per hour, and one cycle is 45 minutes long. Therefore, during one cycle, the workstation uses:

  • (200 parts/hour) * (0.75 hours/cycle) = 150 parts/cycle.

Considering the inefficiency factor of 0.09, the effective capacity of a container is:

  • 53 parts/container * (1 - 0.09) = 48.23 parts/container (rounded down to 48 parts/container).

To find the number of containers needed, we divide the number of parts per cycle by the adjusted capacity of a container:

  • 150 parts/cycle / 48 parts/container = 3.125 containers/cycle.

Since we must round up to a whole number, the workstation needs 4 containers per cycle. Rounded to ensure there are always enough parts available for production.

User Billz
by
7.7k points