The concentration of a drug in the body (in milligrams per milliliter) as a function of time (in hours) since ingestion is given by: $C(t)=14 t e^{-0.10 t}$ How many hours does it take for the drug to reach peak concentration? Select one: 1 4 10 5 100

Step 1 ：Define the variable and function: \( t \) is the variable and \( C = 14t e^{-0.10t} \) is the function.

Step 2 ：Compute the derivative of the function: \( C'(t) = -1.4t e^{-0.10t} + 14 e^{-0.10t} \).

Step 3 ：Solve the equation \( C'(t) = 0 \) to find the time at which the drug reaches peak concentration.

Step 4 ：The solution to the equation is \( t = 10 \).

Step 5 ：So, the drug reaches peak concentration 10 hours after ingestion.

Step 6 ：Final Answer: \(\boxed{10}\)