# Operations Business Math—Process Analysis Level Three—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-1060.

Excerpt

UVA-OM-1061

Process Analysis Level Three—Problems

1. Rebecca was an artist who made limited-edition sets of etched dry-point prints. She first created each printing plate in the set by using a sharp instrument to scratch an artistic image onto the plate's hard surface. It took an average of one hour to prepare the design on the surface of each printing plate. She made a set of seven differently designed plates for the limited edition prints. Next, she was ready to use her dry-inking press to produce the prints. She inked one of the printing plates, which took one minute, and then ran it through her dry-printing press. The press printed a reverse image on a piece of paper. She needed to re-ink the plate between each print. Rebecca printed 27 limited-edition paper prints from each inked plate. It required five minutes to run the dry-ink press to create one print from an inked plate. A batch size was the entire series of all limited-edition prints made from each of the plates. What was Rebecca's total time to prepare the plates in the series, and run all of the prints through the printing press (in minutes)?

2. Rebecca was an artist who made limited-edition sets of etched dry-point prints. She first created each printing plate in the set by using a sharp instrument to scratch an artistic image onto the plate's hard surface. With each printing plate, it took an average of one hour to prepare the design on the surface. She made a set of five differently designed plates for the limited-edition prints. Next, she was ready to use her dry-inking press to produce the prints. She inked one of the printing plates, which took one minute, and then ran it through her dry-printing press. The press printed a reverse image on a piece of paper. She needed to re-ink the plate between each print. Rebecca printed 41 limited-edition paper prints from each inked plate. It required five minutes to run the dry-ink press to create one print from an inked plate. A batch consisted of the entire series of limited-edition prints made from the set of plates. How many completed batches could she produce in five nine-hour days?

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Keywords: operations management, process analysis

Suggested Citation

Goldberg, Rebecca, Operations Business Math—Process Analysis Level Three—Problems. Darden Case No. UVA-OM-1061. Available at SSRN: https://ssrn.com/abstract=2974877

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