The factors that can account for growth in per capita output during a country's transition to a long-run, steady-state equilibrium are "technical progress and capital accumulation."
This is evident in that the technical progress implies an increment in the entire production output despite using the same amount of resources.
Also, Capital accumulation is used in developing more capital stock and investments which is used in production processes.
A real-world example is the case of Germany and Japan after World War II. Both countries used their capital accumulation and technological advancement to develop per capita output during the country's transition to long-run, steady-state equilibrium.
Hence, in this case, it is concluded that capital accumulation and technical progress are vital in any country's development.
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