The CFO of Marta Aaraña Cement Industries knows that many of the diesel-fueled systems in its quarries must be replaced at an estimated cost of $20 million 10 years from now. A fund for these replacements has been established with the commitment of $1 million at the end of next year (year 1) with 10% increases through the 10th year. If the fund earns at 5.25% per year, will the company have enough to pay for the replacements?

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.]

On january 1, year 1, purl corp. purchased as a long-term investment $500,000 face amount of shaw, inc.’s 8% bonds for $456,200. the bonds were purchased to yield 10% interest. the bonds mature on january 1, year 6, and pay interest annually on january 1. purl uses the effective interest method of amortization. what amount (rounded to nearest $100) should purl report on its december 31, year 2, balance sheet for these held-to-maturity bonds?

Labor unions have used which of the following to win passage of favorable laws such as shorter work weeks and the minimum wage? a. strikes b. collective bargaining c. lobbying d. lockouts