Honeybees are essential for pollinated crop growth such as fruits, nuts, and vegetables since they account for 80% of pollination worldwide. However, bee colony collapse has caused drastic declines in their population. The number of honeybee hives in the United States decreased by 60% from 1947 to 2008. If this decrease was exponential, what was the rate of decline? 

Suppose the United States imposes an immediate ban on the pesticides responsible for colony collapse disorder in order to save honeybee hives which have dropped to just 30% of its historic average. If there are currently 2.44 million honeybee hives at the onset of the ban, and repopulation follows a logistic growth rate of 0.045 with an environmental carrying capacity of 10 million hives, in what year will the population reach its historic average? 

Due to the ban on pesticides, the ban cost the United States government $10M per year in 2019 due to the production and distribution of pesticide substitutes. If these costs increase at a rate of 0.8% per year, compounded annually, how much will the United States government be spending in the year the population fully rebounds?

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