Question

A processor makes two components, A and B, which are then packaged together as the final product (each product sold contains one A and one B). The processor can do only one component at a time: either it can make As or it can make Bs. There is a setup time when switching from A to B.
Current plans are to make 100 units of component A, then 100 units of component B, then 100 units of component A, then 100 units of component B, and so forth, where the setup and run times for each component are given below.

COMPONENT SETUP/CHANGEOVER TIME RUN TIME/UNIT
A 5 minutes 0.2 minute
B 10 minutes 0.1 minute

Assume the packaging of the two components is totally automated and takes only two seconds per unit of the final product. This packaging time is small enough that you can ignore it.

Require:
What is the average hourly output, in terms of the number of units of packaged product (which includes one component A and one component B)?

Answer 1

Answer:

133 Packets per hour

Explanation:

Component            Setup time A   Run time B     Total time A+B

A                                        5                 20                 25 minute

                                                          (0.2*100)

B                                       10                 10                  20 minute

                                                          (0.1*100)                                

Production time for 100 units of A+B                     45 Minutes

Average hourly output = 60/45 * 100

Average hourly output = 1.33 * 100

Average hourly output = 133 Packets per hour