Final answer:
The recommended dosage range for the child is 1.746 mg to 2.328 mg.
Step-by-step explanation:
The recommended dosage range for this child can be calculated using the formula:
Dosage = (weight in lbs / 2.2) × (dose in mg/m²)
First, we convert the weight from lbs to kg by dividing the weight by 2.2: 85 lbs / 2.2 = 38.64 kg
Second, we calculate the body surface area (BSA) using the formula:
BSA = √(height in cm × weight in kg / 3600)
Converting the height from inches to cm: 50 inches × 2.54 cm/inch = 127 cm.
Substituting the values into the formula:
BSA = √(127 cm × 38.64 kg / 3600)
= √(1.3569)
= 1.164 m²
Finally, we calculate the recommended dosage range:
Recommended dosage range = BSA × (dose in mg/m²)
For a dose of 1.5-2mg/m², the recommended dosage range would be: 1.164 m² × 1.5 mg/m²
= 1.746 mg - 1.164 m² × 2 mg/m²
= 2.328 mg