In 2000, a country's annual production of coal was 75 million tons, and this was increasing at a rate of 1.5 million tons per year. Meanwhile, the country's annual demand for coal was 30 million tons and was increasing at a rate of 4% per year.
(a) Find formulas for the country's coal production P and demand D (both in millions of tons) as functions of time t (in years after 2000).
(b) When will the country's demand equal its production?