Final answer:
To find out how many cartridges are needed, multiply the daily units by the number of days (26 units/day × 30 days = 780 units) and then divide by the number of units per cartridge (300 units); the patient needs 3 cartridges for a 30-day supply.
Step-by-step explanation:
To calculate the number of cartridges a patient will need for a 30-day supply of Lantus at a dosage of 26 units daily, we first calculate the total number of units needed for the 30-day period:
- 26 units/day × 30 days = 780 units total
Given that each cartridge contains 3 mL of Lantus at a concentration of 100 units per mL, we can then calculate the total amount of cartridges needed:
- 1 cartridge = 3 mL × 100 units/mL
- = 300 units
- Total units needed (780 units) / Units per cartridge (300 units) = 2.6 cartridges
Since the patient cannot use a fraction of a cartridge, they will need 3 full cartridges to ensure a complete 30-day supply.