Insulin Supply
1. **State the problem:** We need to find out how many boxes of Humalog Cartridges a patient requires for a 6-month supply.
2. **Given information:**
- Insulin concentration: 100 units/mL
- Dosage: 20 units three times a day (tid)
- Duration: 6 months
3. **Calculate total daily units:**
$$20 \text{ units} \times 3 = 60 \text{ units/day}$$
4. **Calculate total units for 6 months:**
Assuming 1 month = 30 days,
$$6 \text{ months} \times 30 \text{ days/month} = 180 \text{ days}$$
Total units needed:
$$60 \text{ units/day} \times 180 \text{ days} = 10800 \text{ units}$$
5. **Determine volume of insulin needed:**
Since concentration is 100 units/mL,
$$\text{Volume} = \frac{10800 \text{ units}}{100 \text{ units/mL}} = 108 \text{ mL}$$
6. **Calculate number of boxes:**
Assuming each box contains cartridges with a total volume of 3 mL (typical for Humalog cartridges),
$$\text{Number of boxes} = \frac{108 \text{ mL}}{3 \text{ mL/box}} = 36 \text{ boxes}$$
**Final answer:** The patient requires **36 boxes** of Humalog Cartridges for the 6-month supply to ensure they do not run out before returning to Canada.