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25 November, 09:16

If the per-worker production function is given by y = k1/2, the saving rate (s) is 0.2, and the depreciation rate is 0.1, then the steady-state ratio of capital to labor is:

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  1. 25 November, 09:32
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    Step-by-step explanation:

    Condition that must be fullfiled:

    i = (n+g+k) k

    k - capital per labor, n - labor growth, g - technological growth

    0.2k^ (1/2) = (0+0+0.1) k

    0.2k^ (1/2) = 0.1k

    k^ (1-1/2) = 0.2/0.1

    k^ (1/2) = 2

    k = 4
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