Sprinkler irrigation in Nebraska: Logistic growth can be used to model not only population growth but also economic and other types of growth. For example, the total number of acres A = A(t), in...

Sprinkler irrigation in Nebraska: Logistic growth can be used to model not only population growth but also economic and other types of growth. For example, the total number of acres A = A(t), in millions, in Nebraska that are being irrigated by modern sprinkler systems has shown approximate logistic growth since 1955, closely following the equation of change

Here time t is measured in years.

a. According to this model, how many total acres in Nebraska can be expected eventually to be irrigated by sprinkler systems? (Hint: This corresponds to the carrying capacity in the logistic model for population growth.)

 b. How many acres of land were under sprinkler irrigation when sprinkler irrigation was expanding at its most rapid rate?