Respuesta :
We have to calculate the safe dose range for an specific patient.
The patient weights 19 lbs and 9 ounces.
We need to know the weight in kg in order to calculate the dose, so we apply the conversion using unit factors:
[tex]\begin{gathered} W=19\text{lbs}+9oz \\ W=19\text{lbs}\cdot\frac{1\operatorname{kg}}{2.2\text{ lbs}}+9oz\cdot\frac{1\operatorname{kg}}{35.274oz} \\ W=8.63\operatorname{kg}+0.26\operatorname{kg} \\ W=8.89\operatorname{kg} \end{gathered}[/tex]The patient weights 8.89 kg.
The dosis per day is between 500 and 800 mcg per kg, so we can calculate the total dosis range as:
[tex]\begin{gathered} \text{Range Min }=\frac{500\text{ mcg}}{\frac{\operatorname{kg}}{\text{day}}}\cdot8.89\operatorname{kg}=4445\frac{mcg}{\text{day}} \\ \text{Range Max}=\frac{800\text{ mcg}}{\frac{\operatorname{kg}}{\text{day}}}\cdot8.89\operatorname{kg}=7112\frac{mcg}{\text{day}} \end{gathered}[/tex]If we applied this drug in 4 doses, we will have a amount of drug per dosis between 1111.25 mcg/dose and 1778 mcg/dose:
[tex]\begin{gathered} \text{Range min}=4445\frac{mcg}{day}\div4\frac{doses}{day}=\frac{4445}{4}\frac{mcg}{\text{dose}}=1111.25\frac{mcg}{\text{dose}} \\ \text{Range max}=7112\frac{mcg}{day}\div4\frac{doses}{day}=\frac{7112}{4}\frac{mcg}{\text{dose}}=1778\frac{mcg}{\text{dose}} \end{gathered}[/tex]Answer: the range of the amount of drug per day for this patient is 4445 mcg/day and 7112 mcg/day.
