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)=1.9te-2.3t
Models the BAC, measured in mg/mL, in a test patient's bloodstream t hours after rapidly consuming 15 mL of alcohol. What is the maximum BAC during the first three hours? (Round to three decimal places)
When does it occur? (Round to three decimal places)