The average individual daily milk consumption for herds of Charolais, Angus, and Hereford calves can be described by the function M(t) = 6.281t^0.242e^-0.025t, 1 ≤ t ≤ 26, where M(t) is the milk consumption (in kilograms) and t is the age of the calf (in weeks).
(a) Find the time in which the maximum daily consumption occurs and the maximum daily consumption.
(b) If the general formula for this model is given by M(t) = at^be^-ct, find the time where the maximum consumption occurs and the maximum consumption.