Skateboards must be produced with exactly 4 wheels and 1 board for each skateboard. (Suppose that no assembly is required, so labor is not an input.) Let Q represent the number of skateboards, W the number of wheels, and B the number of boards. The price of a wheel is PW, and the price of a board is PB.

a. Write down the production function for skateboards, Q(W, B).
b. Derive the long-run total cost function for producing skateboards, LRTC(Q, Pw, PB).

An employer who is considering hiring eva has asked donna, eva’s former supervisor, for a report on eva. in truth, eva’s work for donna has been only average. however, eva is donna’s friend, and donna knows that eva probably will not get the job if she says anything negative about eva, and donna knows that eva desperately needs the job. further, donna knows that if the situation were reversed, she would not want eva to mention her deficiencies. nevertheless, it has been donna’s policy to reveal the deficiencies of employees when she has been asked for references by employers, and she knows that some of eva’s faults may be bothersome to this particular employer. finally, this employer has leveled with donna in the past when donna has asked for a report on people who have worked for him. should donna reveal deficiencies in eva’s past performance? (remember to use one of the three moral theories acceptable for this test to solve this dilemma. any discussion of any personal opinion, religious perspective, or theory other than the moral theories acceptable for this test will result in a score of "0" for this question.)

Variable rate cd’s = $90 treasury bills = $150 discount loans = $20 treasury notes = $100 fixed rate cds = $160 money market deposit accts. = $140 savings deposits = $90 fed funds borrowing = $40 variable rate mortgage loans $140 demand deposits = $40 primary reserves = $50 fixed rate loans = $210 fed funds lending = $50 equity capital = $120 a. develop a balance sheet from the above data. be sure to divide your balance sheet into rate-sensitive assets and liabilities as we did in class and in the examples. b. perform a standard gap analysis and a duration analysis using the above data if you have a 1.15% decrease in interest rates and an average duration of assets of 5.4 years and an average duration of liabilities of 3.8 years. c. indicate if this bank will remain solvent after the valuation changes. if so, indicate the new level of equity capital after the valuation changes. if not, indicate the amount of the shortage in equity capital.

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.