Question

a pharmacy technician receives a prescription for insulin with instructions to inject 45 units daily for 28 days. the pharmacy stocks 10-ml vials that have a concentration of 300 units/ml. how many vials should the technician plan to dispense?

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Explanation:

Calculate total units needed

To find the total units of insulin required for the entire 28-day supply, we multiply the daily dose by the number of days.

$$ \text{Total Units} = 45\text{ units/day} \times 28\text{ days} = 1260\text{ units} $$

Calculate units per vial

Next, we determine how many units of insulin are contained in a single 10-mL vial. We multiply the volume of the vial by its concentration.

$$ \text{Units per Vial} = 10\text{ mL} \times 300\text{ units/mL} = 3000\text{ units} $$

Determine number of vials

To find the number of vials to dispense, we divide the total units needed by the units available in one vial.

$$ \text{Number of Vials} = \frac{1260\text{ units}}{3000\text{ units/vial}} = 0.42\text{ vials} $$

Since insulin vials cannot be divided and must be dispensed as whole packages, we round up to the nearest whole vial.

$$ \text{Vials to Dispense} = 1\text{ vial} $$

Answer:

• One (Correct answer)
• Two
• Four
• Three