### Dimensional Analysis - Complex

1. Units and Conversion 1.6) Dimensional Analysis 1.6.1) Dimensional Analysis

1.6.1.1) Dimensional Analysis Hard 1

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A 234 lb patient is taking a chemo drug costing 46.83 cent per mg. The recommended dose is 8.94 mg per kg of body weight. The nurse is administering a solution of 2.98 mg/mL concentration and the pump is infusing it at the rate of 1 mL/min. The tubing of this particular pump delivers 22 gtt/mL.

Calculate the total cost of the drug used for this patient, in USD. Click on the button below to see the answer and explanations

lb equals 445.3 kg

• This problem has the following paired information:
46.83 cent = 1 mg drug
2.98 mg drug = 1 mL solution
8.94 mg drug = 1 kg body weight
1 ml solution = 1 min
22 drops = 1 mL solution
patient's body weight = 234 lb
Also, you need to know that 1 kg = 2.2 lb.

Since this problem is asking cost, we take the relationship which has cent in it, and keep at the first denominator
 46.83 cent × 8.94 mg × 1 kg × 234 lb 1 mg 1 kg 2.2 lb 1

Therefore, the cost in cent is = 44530.22.
Therefore, the cost in USD is =445.3. Ans.