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This explains how to estimate how many days a 10 ml vial will last from weight, mg/kg, and strength.
Divide the required mg per day by the formulation strength in mg/ml to get the daily liquid volume. Divide the vial volume by that daily volume to estimate the number of days.
In practice, residue in the equipment and measurement error may mean the actual number of days differs from the calculation.
If the cat's weight changes during treatment, share the new weight with the veterinarian and confirm the required amount.