121k views
4 votes
Consider a process consisting of five resources that are operated eight hours per day. The process works on three different products, a, b, and c. The number of processing time for resource workers for product a is 12555 min/unit, for product b is 22345 min/unit, and for product c is 3 min/unit. The demand for the three different products is as follows: product a, 40 units per day; product b, 50 units per day; and product c, 60 units per day. What is the bottleneck?

User Thb
by
7.2k points

1 Answer

3 votes

Final answer:

The bottleneck is Product b, requiring 1,117,250 min/day, which far exceeds the available operation time, making it the limiting factor in the production process.

Step-by-step explanation:

To determine the bottleneck in the production process, we should calculate the total processing time needed for each product and compare it with the available time. The available time per day for the process, given that there are five resources operated eight hours per day, is 5 resources × 8 hours/resource/day × 60 minutes/hour = 2,400 minutes/day.

Now, we compute the total processing time required for a day's demand for each product:

  • Product a: 12555 min/unit × 40 units/day = 502,200 min/day
  • Product b: 22345 min/unit × 50 units/day = 1,117,250 min/day
  • Product c: 3 min/unit × 60 units/day = 180 min/day

The greatest total processing time indicates the bottleneck, which is Product b requiring 1,117,250 min/day, far exceeding the available 2,400 minutes.

Final answer: The bottleneck in this production process is Product b, as it has the highest total processing time required per day that surpasses the available operation time, making it the limiting factor in meeting daily demand.

User Locke
by
7.1k points