# Operations Business Math—Process Analysis Level Two—Problems

1 Pages Posted: 30 May 2017

See all articles by Rebecca Goldberg

## Rebecca Goldberg

University of Virginia - Darden School of Business

### Abstract

This problem set focuses on process-analysis calculations, including throughput, capacity, cycle time, and utilization. See also UVA-OM-1059 and UVA-OM-1061.

Excerpt

UVA-OM-1060

Process Analysis Level Two—Problems

1. Mark made electrical connectors. He fabricated plastic housing and metal into a finished product that he sold to finished-goods assemblers like Honda and Toyota. The fabrication process consisted of four steps: loading component materials into the machine (14 minutes per batch), running the parts through the machine (.00048 minutes per unit), quality-checking a sample of the output from the machine (78 minutes per batch), and packaging the parts for shipping (one hour per batch). The batch size, and the size that orders were shipped in, was always 500,000. What was the manufacturing lead time in minutes?

2. Brad's company manufactured precision surgical staples. Each unit took five minutes from start to finish. As the raw materials progressed through the several steps necessary to complete the process, the staples were being machined a total of 1.9 minutes, and were waiting in a queue between steps with no human or machine involvement for one minute. How much inspection time was embedded in the five minutes total time it took Brad to manufacture and inspect each staple? (This answer should be provided to the first decimal point.)

3. A factory assembled small plush toys in two steps. The first step, filling the pre-sewn exterior of the toy with plastic pellets, took three minutes, and the machine that performed this step ran eight hours a day. The second step, during which a second machine assisted a person in sewing shut the exterior, had a daily capacity of 124 plush toys. What was the daily capacity in assembled units for the factory?

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Keywords: operations management, process analysis

Suggested Citation

Goldberg, Rebecca, Operations Business Math—Process Analysis Level Two—Problems. Darden Case No. UVA-OM-1060. Available at SSRN: https://ssrn.com/abstract=2974876

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