Here are the steps to solve this problem:
1) Convert 15.4 lbs to kg: 15.4 lbs = 7 kg
2) The dosage range is 75-150 mg/kg per day
3) To calculate the dosage for this order:
7 kg * 150 mg/kg = 1050 mg per day
4) The doctor's order of 200 mg every 8 hours is:
200 mg * 4 times per day = 800 mg per day
5) The doctor's order of 800 mg per day is within the recommended dosage range of 75-150 mg/kg per day (which is 1050-2100 mg per day for this patient).
Therefore, the doctor's order is within the desired dosage range