Glist the 4 different stages of plastic deformation in a cup drawing process

Assume today is december 31, 2013. barrington industries expects that its 2014 after-tax operating income [ebit(1 – t)] will be $400 million and its 2014 depreciation expense will be $70 million. barrington's 2014 gross capital expenditures are expected to be $120 million and the change in its net operating working capital for 2014 will be $25 million. the firm's free cash flow is expected to grow at a constant rate of 4.5% annually. assume that its free cash flow occurs at the end of each year. the firm's weighted average cost of capital is 8.6%; the market value of the company's debt is $2.15 billion; and the company has 180 million shares of common stock outstanding. the firm has no preferred stock on its balance sheet and has no plans to use it for future capital budgeting projects. using the corporate valuation model, what should be the company's stock price today (december 31, 2013)? round your answer to the nearest cent. do not round intermediate calculations.

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.

Describe three scenarios in which you might utilize mathematics to investigate a crime scene, accident scene, or to make decisions involving police practice. be sure to explain how math is used in police as they work through each scenario.