Humana hospital corporation installed a new mri machine at a cost of $750,000 this year in its medical professional clinic in cedar park. this state-of-the-art system is expected to be used for 5 years and then sold for $125,000. humana uses a return requirement of 25% per year for all of its medical diagnostic equipment. as a bioengineering student currently serving a coop semester on the management staff of humana hospital corporation in louisville, kentucky, you are asked to determine the minimum revenue required each year to realize the expected recovery and return. (a) what is your answer? (b) if the aoc is expected to be $80,000 per year, what is the total revenue required to provide for recovery of capital, the 25% return, and the annual expenses? (c) write the spreadsheet functions to display your answers.

Jennifer purchased a house in a brand new development in the outskirts of town. when her house was built, the nearest fire department was nearly 20 miles away. as her neighborhood developed, the density of the community called for a new fire department 1.5 miles away. what effect will the new fire station have on her homeowners insurance premium? a. a new fire department will be more demanding on local taxes. her annual premium will go up. b. the location of a fire department has no bearing on the value of her house. her annual premium will stay the same. c. the new fire department will reduce the risk of financial loss in her home. her annual premium should decrease. d. with a fire department so close (less than 5 miles), financial risk on jennifer’s home practically disappears. she will not need to pay insurance anymore.

Suppose a firm faces a fixed price of output, 푝푝= 1200. the firm hires workers from a union at a daily wage, 푤푤, to produce output according to the production function 푞푞= 2퐸퐸12. there are 225 workers in the union. any union worker who does not work for this firm is guaranteed to find nonunion employment at a wage of $96 per day. a.what is the firm’s labor demand function? b.if the firm is allowed to choose 푤푤, but then the union decides how many workers to provide (up to 225) at that wage, what wage will the firm set? how many workers will the union provide? what is the firm’s output and profit? what is the total income of the 225 union workers? c.now suppose that the union sets the wage, but the firm decides how many workers to hire at that wage (up to 225). what wage will the union set to maximize the total income of all 225 workers? how many workers will the firm hire? what is the firm’s output and profit? what is the total income of the 225 union workers? [hint: to maximize total income of union, take the first order condition with respect to w and set equal to 0.]

The returns on the common stock of maynard cosmetic specialties are quite cyclical. in a boom economy, the stock is expected to return 22 percent in comparison to 9 percent in a normal economy and a negative 14 percent in a recessionary period. the probability of a recession is 35 percent while the probability of a boom is 10 percent. what is the standard deviation of the returns on this stock?