If guaifenesin syrup is to be taken 2 tbsp PO b.i.d. how many prefilled 5 ml oral syringes must be dispensed to provide a 72-hour supply?
24 prefilled 5 ml oral syringes must be dispensed to provide a 72-hour supply of guaifenesin syrup.
To determine the number of syringes needed for a 72-hour supply, we calculate the total dosage required and then convert that into the number of syringes. With a dosage of 2 tablespoons (30 ml) taken twice daily, the total intake over three days is 72 tablespoons (or 2160 ml), which translates to 24 syringes of 5 ml each.
Dispensing 6 syringes would only provide a total of 30 ml × 6 = 180 ml, which is insufficient for a 72-hour supply. This amount corresponds to only 1 day of the prescribed dosage.
Twelve syringes would yield 12 × 5 ml = 60 ml, which falls short of the required dosage for 72 hours. This total does not meet the 2160 ml needed for the complete three-day supply.
Dispensing 24 syringes would provide 24 × 5 ml = 120 ml, which meets the total requirement of 2160 ml for a 72-hour supply. Thus, this option accurately reflects the correct amount needed.
While 36 syringes would provide 36 × 5 ml = 180 ml, this is more than the required dosage for the 72-hour period. While this option exceeds the requirement, it does not represent the correct answer.
To ensure a sufficient supply of guaifenesin syrup for a 72-hour period at the prescribed dosage, 24 prefilled 5 ml oral syringes must be dispensed, providing the required total of 2160 ml. The calculations show that each other option fails to meet the necessary dosage, confirming that only option C satisfies the 72-hour supply requirement.
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