Precision Testing (PTest) 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. They receive 150 samples per hour to test.

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

(b) What is the utilization of the urine testing equipment?

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