A manufacturing facility consists of eight departments (A, B, C, D, E, F, G, and H) and is to produce six components (1, 2, 3, 4, 5, and 6). Following are the product routings and production forecasts: Component Routing Production Forecast (E. U.L. per week)

1 A-B-G-H 20

2 A-C-D-H 25

3 A-D-E-F-H 20

4 A-B-C-E-H 30

5 A-B-C-D-H 15

6 A-E-F-G-H 5

a) Develop the FROM-TO chart [20]

b) Develop the VOLUME-BETWEEN chart [20]

Ajustification for job training programs is that they improve worker productivity. suppose that you are asked to evaluate whether more job training makes workers more productive. however, rather than having data on individual workers, you have access to data on manufacturing firms in ohio. in particu- lar, for each firm, you have information on hours of job training per worker (training) and number of nondefective items produced per worker hour (output). (i) carefully state the ceteris paribus thought experiment underlying this policy question. (ii) does it seem likely that a firm’s decision to train its workers will be independent of worker characteristics? what are some of those measurable and unmeasurable worker characteristics? (iii) name a factor other than worker characteristics that can affect worker productivity. (iv) if you find a positive correlation between output and training, would you have convincingly established that job training makes workers more productive? explain.

On coral island in 2012, the labor force is 12,000, the unemployment rate is 10 percent, and the labor force participation rate is 60 percent. during 2013, 200 unemployed people found jobs and the working-age population increased by 1,000. the total number of people in the labor force did not change. the working-age population at the end of 2013 was the unemployment rate at the end of 2013 was round up to the second decimal. the labor force participation rate at the end of 2013 was round up to the second decimal.

Kumar consulting operates several stock investment portfolios that are used by firms for investment of pension plan assets. last year, one portfolio had a realized return of 12.6 percent and a beta coefficient of 1.15. the average t-bond rate was 7 percent and the realized rate of return on the s& p 500 was 12 percent. what was the portfolio's alpha?