You are the chief economic advisor to the President of a country with an aggregate (per capita)production function of y= 2√k. The savings rate is 8% of output, the rate of depreciation is 10%, and population growth is 2%. There is no technological progress. a) On one graph, show the output, break-even investment (depreciation plus population growth), and savings functions for this economy (as a function of capital per worker). Denote steady state capital per worker k∗.
b) What is the numerical value of this economy’s steady state level of capital per worker? Output per worker?
c) If the economy’s original level of capital per worker is 4 units, describe how the economy works its way toward the steady state. Specifically, what is the numerical value of investment at k = 4? What is the numerical value of investment necessary to break even at k = 4? What do these variables tell you about what is happening to the capital stock?
d) If this country’s population growth rate increases to 8%, what would the new (numerical) value of capital per worker be? Output per worker?
e) How fast is this country growing in the steady state?
f) If technological progress (the growth rate of technology) increased to 3%, how fast would this country grow in the steady state?

Your mother's well-diversified portfolio has an expected return of 12.0% and a beta of 1.20. she is in the process of buying 100 shares of safety corp. at $10 a share and adding it to her portfolio. safety has an expected return of 15.0% and a beta of 2.00. the total value of your current portfolio is $9,000. what will the expected return and beta on the portfolio be after the purchase of the safety stock?

The hawthorne works was a large western electric factory with 45,000 employees. during the 1920s and 1930s, hawthorne works was the site of some well-known industrial studies. in one of the studies, researchers investigated the impact of different working conditions on worker productivity. prior to the start of the study, researchers secretly measured workers' productivity for several weeks. then researchers chose two workers, who then chose their own teams. the teams were separated from the general workforce and completed their work in different experiment rooms where the researchers could observe them more easily. over a 5-year period researchers manipulated the structure of the workday for each team (number and duration of breaks and number of hours per shift). for each of these changes in working conditions, the researchers measured the effect on productivity. for some conditions, such as frequent short breaks, workers rebelled by intentionally decreasing productivity.why did the researchers secretly measure the workers' productivity before creating the two treatment groups? a, to create similar treatment groups so that a cause-and-effect relationship could be establishedb, to draw conclusions about the productivity of all workers in the plant based on the test groupsc, to directly control for confounding variablesd, to provide a baseline for measuring worker productivity

Amarket that consists of all possible consumers regardless of their specific needs or wants is a