A country has a total of three cities and city A has a population of 550,000 and city B has a population of 200,000 and city C a population of 10,000. Sixty physicians in the country. The per capita demand for medical care is the same in the three cities, and the cities are equally desirable places in which to practice medicine and live.
How do we allocated the physicians among the three cities if physician's earnings are to be equalized among the cities?