Final answer:
The bioavailability of the drug is calculated by considering both the absorption rate (30%) and the hepatic extraction ratio (0.7), resulting in a bioavailability of 0.09.
Step-by-step explanation:
To determine the bioavailability of a drug, we need to consider both its absorption and hepatic extraction ratios. The hepatic extraction ratio represents the fraction of the drug removed from the blood by the liver during one circulation, and for this specific drug, it is 0.7. This means that 70% of the drug is removed during its first pass through the liver. The drug's absorption rate is 30%, which represents the fraction of the administered dose that reaches the systemic circulation.
Bioavailability (F) is calculated using the formula:
F = Absorption × (1 - Hepatic Extraction Ratio)
Thus, for this drug:
F = 0.3 × (1 - 0.7) = 0.3 × 0.3 = 0.09
Therefore, the bioavailability of the drug (option D) is 0.09, considering both the absorption and the high hepatic extraction ratio.