If AUC_po = 60 mg·h/L, AUC_iv = 100 mg·h/L, Dose_po = 100 mg, Dose_iv = 50 mg, calculate F.

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Multiple Choice

If AUC_po = 60 mg·h/L, AUC_iv = 100 mg·h/L, Dose_po = 100 mg, Dose_iv = 50 mg, calculate F.

Explanation:
Bioavailability is the fraction of an oral dose that reaches systemic circulation. Since AUC is proportional to the amount that enters the bloodstream, the ratio of oral to IV exposure, adjusted for the two doses, gives F. The relationship is F = (AUC_po × Dose_iv) / (AUC_iv × Dose_po). Plugging in the numbers: (60 × 50) / (100 × 100) = 3000 / 10000 = 0.30. So the oral bioavailability is 0.30, i.e., 30%.

Bioavailability is the fraction of an oral dose that reaches systemic circulation. Since AUC is proportional to the amount that enters the bloodstream, the ratio of oral to IV exposure, adjusted for the two doses, gives F. The relationship is F = (AUC_po × Dose_iv) / (AUC_iv × Dose_po).

Plugging in the numbers: (60 × 50) / (100 × 100) = 3000 / 10000 = 0.30. So the oral bioavailability is 0.30, i.e., 30%.

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