Metal frames for kick scooters are manufactured in two steps

Metal frames for kick scooters are manufactured in two steps: Stamping and assembly. Each frame is made up of three pieces: one unit of part A and two units of part B.

The parts are fabricated by a single stamping machine that requires a set up time of 90 minutes switching between two part types. Once the machine is set up, the activity time for parts, regardless of type, is 30 seconds each piece. Currently, the stamping machine rotates its production between one batch of 120 part A’s and 240 part B’s. Completed parts move only when the entire batch is produced.

At assembly, parts are assembled manually to form the finished products. The three parts and a number of small purchased components are required for each unit of final product. Each product requires 30 minutes of labor time to assemble. There are 12 workers in assembly. There is sufficient demand to sell every scooter the system can make.

At the current batch sizes, the bottleneck of the system is ....

Solution

Stamping

Time required for set up=90 min

Time required for1 batch of Part A =120*30/60=60min

Time required for 1 batch of part B =240*30/60=120min

Total time required=90+60+120=90+60+120=270 min

Assembly

Total number of final product from 120 part of A and 240 part of Part B=120 unit

Total unit produced in 30 min =12

Total time required for completing 120 product =30*120/12 =300 min

Since maximum time is required for assembly part, assemble is the bottleneck of the system