Operations

UV3514

OPERATIONS BUSINESS MATH

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?

4. Karen ran a cookie factory. Her operators worked standard eight-hour shifts. The first

shift utilized the equipment at an average 76-percent capacity, but the second shift only

used 71-percent capacity on average. Karen did not run a third shift. What was Karen’s

average capacity utilization over a 24-hour day?

5. Ron worked at a...