When a drug or vitamin is administered intramuscularly (into a muscle), the concentration in the blood at time t after injection can be approximated by a function of the form f(t) = c(e^-k1t - e^-k2t). The graph of f (t) = 5(e^{- 0.01t} - e^{- 0.51t}), for t ≥ 0, is shown in Fig. 6. Find the value of t at which this function reaches its maximum value.

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Concentration of drug in blood 2 0 Figure 6 f(t) = 5 (e-0.01t 20 e-0.51t) + 40 t (time)