Question

ba 341 - exam ii review problems

1. toymax seeks to determine the number of kanban containers needed to feed a newly established work cell. the cell requires 600 parts over an eight - hour day. production lead time for the parts needed by the cell is 3 hours and the cell supervisor recommends a safety stock equal to 50% of the cell’s daily production. assuming a container size of 100 parts, how many containers are needed for the new cell?

Explanation:

Step1: Calculate daily demand rate

The cell requires 600 parts over an 8 - hour day. So the demand rate \(d=\frac{600}{8}=75\) parts per hour.

Step2: Calculate safety stock

Safety stock is 50% of daily production. Daily production is 600 parts. So safety stock \(S = 0.5\times600=300\) parts.

Step3: Calculate total demand during lead - time and safety stock

Lead - time \(L = 3\) hours. Demand during lead - time \(dL=75\times3 = 225\) parts. Total demand \(D=dL + S=225+300 = 525\) parts.

Step4: Calculate number of containers

Container size \(C = 100\) parts. Number of containers \(n=\frac{D}{C}=\frac{525}{100}=5.25\). Since we can't have a fraction of a container, we round up to 6 containers.

Answer:

6