@mike6623,
mike6623 wrote:1. Why do economists consider growth in the average labor productivity to be the key factor in determining long run living standards?
Because labor productivity is the only factor of the national income that
can grow indefinitely in the long run. The national income equals hours worked times labor productivity. Hence, as an alternative to growing average labor productivity, you could have workers work longer hours, or by bring more people into the labor force. But all these alternatives run into limits: No worker can work more than 24 hours a day, no economic policy can recruit more than 100% of the population into the labor force. To repeat, productivity is the only factor here that needn't run into this kind of limit. That's what makes it the key factor.
For a more detailled discussion, you want to look up "Growth theory" in your textbook.
mike6623 wrote:2. How would you assign computers to workers if you didn't have enough for all five? Discuss the relationship between the availability of labor capital and average labor productivity, and also the concept of diminishing returns to capital.
You figure out how productive each accountant is
with a computer. Then you allocate computers in order of productivity, most productive worker first. Again, your textbook's "Growth Theory" chapter should have the details.
mike6623 wrote:How would I find the average labor productivity for each country in 1979 and in 2008. Between 1979 and 2008, and how would I compute the increase in GDP per capita, in labor productivity and in employment relative to population for each country?
My first stop for foreign labor statistics is the Bureau of Labor Statistics, which has a web page on them
here