An investor considers investing $20,000 in the stock market. He believes that the probability is 0.20 that the economy will improve, 0.46 that it will stay the same, and 0.34 that it will deteriorate. Further, if the economy improves, he expects his investment to grow to $26,000, but it can also go down to $17,000 if the economy deteriorates. If the economy stays the same, his investment will stay at $20,000. What is the expected value of his investment?

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.]

Consider an economy where government expenditures are 10 and total tax revenues are 10. the supply of labor is fixed at 125 and the supply of capital is fixed at 8. the economy is described by the following equations. y k to the power of 1 divided by 3 end exponent l to the power of 2 divided by 3 end exponent c 2.5 + 0.75 ( y - t ) i 10 - 0.5 r the level of private savings is

Sue peters is the controller at vroom, a car dealership. dale miller recently has been hired as the bookkeeper. dale wanted to attend a class in excel spreadsheets, so sue temporarily took over dale's duties, including overseeing a fund used for gas purchases before test drives. sue found a shortage in the fund and confronted dale when he returned to work. dale admitted that he occasionally uses the fund to pay for his own gas. sue estimated the shortage at $450. what should sue do?