Minimum cost with Leontief production technology Let the production function be given by =min{2K,3L}. For this production technology, the cost minimizing input bundle is obtained by the condition 2K=3L. Let the rental rate be r=1, and the wage rate be =1. (a) Find the least cost of producing =60, and =120. (b) Find the least cost of producing =60, and =120, when the rental rate is changed to r=2, and the wage rate be =1. (c) Is there any substitution of inputs due to change in the per unit input costs? Why?

You decide to invest in a portfolio consisting of 25 percent stock a, 25 percent stock b, and the remainder in stock c. based on the following information, what is the expected return of your portfolio? state of economy probability of state return if state occurs of economy stock a stock b stock c recession .16 - 16.4 % - 2.7 % - 21.6 % normal .55 12.6 % 7.3 % 15.9 % boom .29 26.2 % 14.6 % 30.5 %

When paul o’neill joined alcoa as ceo, he set a , that there would be zero workplace accidents. a lot of people in the organization thought this was impossible given how dangerous some aluminum-manufacturing jobs are, but alcoa’s safety record improved tremendously. as the board of governors of the american red cross considers planning, one option is to make strategic plans and then direct managers to align tactical and operational plans accordingly. another option is to have planning specialists managers across the organization make their own plans. why might this organization’s executives opt for the latter approach? check all that apply. (a) the environment is a dynamic one, and department and frontline managers can come up with more responsive plans than can central leadership. (b)resources will be better coordinated across the organization in support of the overall strategy.(c) senior leadership will have more control over the organization’s direction. (d)when managers come up with their own plans, they are likely to be more committed to following through on them.

One of your new suppliers, kim, has been hearing rumors about your firm’s lack of capability to deliver high quality products and writes an email asking you to address the claims being made. in replying to her, you want to be sure that you are very clear and leave no room for misinterpretation. which of the following aspects of effective communication should you give the most attention? (a) making sure you understand kim’s areas of expertise. (b) supporting your reply with relevant data and facts. (c) establishing your credibility as an expert. (d) paying attention to implied communications.