# Drug Level in Blood

Calculus Level 3

A patient starts taking a certain pill three times a day, at 7:00 a.m., 3:00 p.m., and 11:00 p.m. The chemical contained in the pill is absorbed in the blood stream immediately, and decays after that exponentially with a half-life of 12 hours. The dosage of the pill is 300 mg.

In the steady-state, what will be the amount of the drug in the blood stream, just before taking the next pill ? (To the nearest mg )

$$\textbf{Details and Assumptions}$$

$$\bullet$$ The steady-state refers to when the patient has taken the pill for so many days that the amount of drug in the blood stream before the patient takes a new tablet remains constant for every occasion.

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