Milk Consumption The average individual daily milk

Chapter 5, Problem 52A

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Problem 52A

Milk Consumption The average individual daily milk consumption for herds of Charolais, Angus, and Hereford calves can be described by the function

M(t) = 6.281t0.242e−0.025t, 1 ≤ t ≤ 26,

where M(t) is the milk consumption (in kilograms) and t is the age of the calf (in weeks). Source: Animal Production.

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) = atb ect,

find the time where the maximum consumption occurs and the maximum consumption. (Hint:Express your answer in terms of a, b, and c.)

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