Problem 79E

After the consumption of an alcoholic beverage, the concentration of alcohol in the bloodstream blood alcohol concentration, or BAC surges as the alcohol is absorbed, followed by a gradual decline as the alcohol is metabolized. The function C(t)=1.35te2.802t models the average BAC, measured in mg/mL, of a group of eight male subjects t hours after rapid consumption of 15 mL of ethanol corresponding to one alcoholic drink. What is the maximum average BAC during the first 3 hours? When does it occur?

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