The two countries of Botkinlandia and Kellertopia share one single power plant with a maximum capacity of 10 gigawatts (10 billion watts = 10,000,000 kW). Kellertopia is small and prosperous, with a stable population of 500,000 and average energy use of 8 kW per capita. Botkinlandia is larger (pop.=1,000,000), less developed (per capita energy use = 1 kW), and growing fast (population and per capita energy use doubling every 20 years).
For how long will the existing power plant be able to supply all of the demand for electricity of the two countries?
