Precision Testing (PTests) does fluid testing for several local hospitals. Consider their urine testing process. Each sample requires 12 seconds to test, but after 300 samples, the equipment must be recalibrated. No samples can be tested during the recalibration process and that process takes 30 minutes.

a. What is PTest's maximum capacity to test urine samples (in samples per hour)?

b. Suppose 2.5 urine samples need to be tested per minute. What is the smallest batch size (in samples) that ensures that the process is not supply constrained?

c. PTest also needs to test blood samples. There are two kinds of tests that can be done-- a "basic" test and a "complete" test. Basic tests require 15 seconds per sample, whereas "complete" tests require 1.5 minutes per sample. After 100 tests, the equipment needs to be cleaned and recalibrated, which takes 20 minutes. Suppose PTest runs the following cyclic schedule: 70 basic tests, 30 complete tests, recalibrate, and then repeat. With this schedule, how many basic tests can they complete per minute on average?