1. (5 points) We have the following data about the aggregate production in China in 2019. variable value Real GDP (millions of 2017 US$) | 20,572,606 Population (millions) 1,433.784 Capital (millions of 2017 US$) 99,608,664 Employment (millions) 798.808 2,167 (a) (3 points) Compute the following: 1) GDP per capita; 2) share of population that is working; 3) average labor productivity when labor is measured by employment; 4) total man-hours; 5) average labor productivity when labor is measured by man-hours; and 6) capital per worker. 0.5 points each. (b) (0.5 points) Suppose that the aggregate production is represented by the fol- lowing production function = zK93L%% where Y is real GDP, K capital, L employment (labor), and z total factor productivity (TFP). Compute the value of z, which is equals to W (c) (1.5 points) Interpret the production function by filling in the following blanks. 0.5 points each. A worker in China in 2019 worked with $ millions of capital and produced $ millions of goods and services on average. A million workers in China in 2019 with $1 million worth of capital can produce $ millions of goods and services. 3. (2 points) In many developing nations, young women have lower enrollment rates in secondary school than young men. Describe two ways in which greater educational opportunities for young women could lead to faster economic growth in these countries. 4. (3 points) The great 18th-century economist Adam Smith wrote Little else is requisite to carry a state to the highest degree of opulence from the lowest barbarism but peace, easy taxes, and a tolerable administration of justice: all the rest being brought about by the natural course of things. Explain how each of the three conditions Smith describes promotes economic growth. 5. (5 points) International data show a positive correlation between income per person and the health of the population. (a) (2 points) Explain how higher income might cause better health outcomes. (b) (2 points) Explain how better health outcomes might cause higher income. () (1 point) How might the relative importance of your two hypotheses be relevant for public policy