Suppose for the U$.$S$.$ that GDP is $$20$ trillion, the capital stock is $$40$ trillion, employment is $150$ million, hours worked are $250$ billion, and the population is $300$ million. Suppose further that China$$s $($PPP dollar$)$ GDP is $$20$ trillion, its capital stock is $$25$ trillion, employment is $600$ million, hours worked are $1\mathrm{.}25$ trillion, and the population is $1\mathrm{.}2$ billion. Assume the Cobb douglas production function. What is the ratio of U$.$S$.$ to Chinese capital$/$labor$?$ How much does the difference in the capital$-$labor ratio contribute to the difference in labor productivity between the U$.$S$.$ and China? How much does the difference in TFP levels contribute to the difference in labor productivity between the U$.$S$.$ and China?