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

Step by step solution

01

Packaged Product

Step 1: Packaged Product

Packaged food refers to the end product that is packed and labeled for sale to the end consumers. The packaging is done to protect the food from contamination from outside pollution and to keep it safe without being spoiled.

02

Calculation of the capacity

Step 2: Calculation of the capacity

It takes 5+100 x 0.2+10+100 x 0.1 = 45 minutes to make 100 products.

The capacity is 100/ (45/60) = 133.3 units per hour.

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