Question: Consider a production process that starts with cutting, then continues to welding, and finally finishes with painting. These three steps take place in series, one

Consider a production process that starts with cutting, then continues to welding, and finally finishes with painting. These three steps take place in series, one after the other. The cutting step takes 5 minutes per product. The welding step takes 6 minutes per product. The painting station has two machines. Each machine can paint a product in 8 minutes. The painting machines work in parallel.

Careful analysis of the process reveals that actually the cutting process time is random. Assuming that cutting takes 1.5 minutes with 0.5 probability and 8.5 minutes with 0.5 probability, what will be the expected hourly capacity of the process under these assumptions?

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