7. In this question, we will use what you learned in the second part of the chapter to compare the performance of an economy in two different time periods, as its physical capital stock and efficiency units of labor change.

a. Suppose that from period 1 to period 2, the unemployment rate in the economy decreases. Everything else remains unchanged. What happens to the total efficiency units of labor? Express your results formally as an inequality, using the formula for total efficiency units of labor presented in the chapter (in particular, recall that total efficiency units of labor in two periods can be written as H1 = L1 * h1 and H2 = L2 * h2;

where L is the total number of employed workers).

b. What are the consequences of this decrease in unemployment for GDP? Express your results formally as an inequality, using the aggregate production function presented in the chapter.

c. What are the consequences for GDP per capita and GDP per worker?

d. Suppose that there is a technological advance from period 1 to period 2 and, at the same time, an increase in physical capital stock? Can you say whether GDP will increase or decrease? Why or why not?