This is an extremely simple human capital accumulation problem. Let ℎ? denote human capital of generation ? (i.e., human capital of people born in year ?). Suppose that human capital accumulates as a result of education spending, denoted by ? and measured in 1,000 US dollars. If ? = 30, the total spending is 30,000 US dollars and human capital of this individual is equal to ℎ? = 2√? Suppose that every individual has the same human capital, and output per individual is ?? = ?ℎ? where ? > 0 is a fixed technology parameter. Find the (long-run) growth rate of ??. Show all your work, and interpret your results.

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