Mixing problems arise in many areas of science. They typically involve a tank of fixed size filled with a well mixed solution of some substance (such as salt). Solution of a given concentration enters the tank at a fixed rate and the mixture, thoroughly stirred, leaves at a fixed rate. We will focus on examples where the inflow and outflow rates are the same, so that the volume of solution in the tank remains constant. If y(t) denotes the amount of substance in the tank at time t, then y' (rate in) - (rate out). b (L/min) (amount/L) y' = rb- Volume = V (L/min) (amount/L) Suppose an antibiotic is administered at a constant rate through intravenous supply to a patient and is metabolized. It can be shown using the type of mixing models discussed above that the concentration of antibiotic after one unit of time is c(V) coe 1/V+0V(1 − e−1/V) where co is the initial concentration, is the rate of supply, and V is the volume of the patient's blood. What is the predicted value for large patients (that is, for large values of V)? c(V) =