A + A =2,A + B =3,A + B × 2 =??..only for geniuses​

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.

Ben collins plans to buy a house for $166,000. if the real estate in his area is expected to increase in value by 2 percent each year, what will its approximate value be five years from now?

You have just been hired as a brand manager at kelsey-white, an american multinational consumer goods company. recently the firm invested in the development of k-w vision, a series of systems and processes that allow the use of up-to-date data and advanced analytics to drive informed decision making about k-w brands. it is 2018. the system is populated with 3 years of historical data. as brand manager for k-w’s blue laundry detergent, you are tasked to lead the brand's turnaround. use the vision platform to to develop your strategy and grow blue’s market share over the next 4 years.