Ethyl alcohol is metabolized by the human body at a constant rate (independent of concentration). Suppose the rate is 10 milliliters per hour.

a. How much time is required to eliminate the effects of a liter of beer containing 3% ethyl alcohol?

b. Express the time T required to metabolize the effects of drinking ethyl alcohol as a function of the amount A of ethyl alcohol consumed.

c. Discuss how the function in part (b) can be used to determine a reasonable “cutoff” value for the amount of ethyl alcohol A that each individual may be served at a party.