The mathematical formulas it uses are as follows:

1. Dose per minute (mcg/min): dosePerMinute = (dose * 80) / 60
2. Dose per kilogram per minute (mcg/kg/min): dosePerKgPerMinute = dosePerMinute / weight

Let’s work through three examples:

Example 1:

Assume the dose is 100 mcg and the patient’s weight is 70 kg.

Dose per minute: (100 * 80) / 60 = 133.33 mcg/min. This is then rounded to 133.3 mcg/min.
Dose per kg per minute: 133.33 / 70 = 1.90 mcg/kg/min. This is then rounded to 1.90 mcg/kg/min.

Example 2:

Assume the dose is 120 mcg and the patient’s weight is 80 kg.

Dose per minute: (120 * 80) / 60 = 160 mcg/min. This is then rounded to 160.0 mcg/min.
Dose per kg per minute: 160 / 80 = 2 mcg/kg/min. This is then rounded to 2.00 mcg/kg/min.

Example 3:

Assume the dose is 150 mcg and the patient’s weight is 60 kg.

Dose per minute: (150 * 80) / 60 = 200 mcg/min. This is then rounded to 200.0 mcg/min.
Dose per kg per minute: 200 / 60 = 3.33 mcg/kg/min. This is then rounded to 3.33 mcg/kg/min.

Please note that these calculations are based on the assumption that the drug is being delivered at a constant rate of 80 mcg per minute. The actual delivery rate might vary depending on the specific infusion pump used and the clinical situation of the patient.