Maintenance money for a new building at a college is being solicited from potential alumni donors. You would like to make a donation to cover all future expected maintenance costs of the building. These maintenance costs are expected to be $48,000 per year for the first five years, $60,000 per year for each of years 6 through 10, and $72,000 annually after that (toward infinity under the assumption that the building has an indefinite service life). If the money is placed in an account that will pay 15% annual interest, how large should your gift be?

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.]

Chuck, a single taxpayer, earns $80,750 in taxable income and $30,750 in interest from an investment in city of heflin bonds. (use the u.s. tax rate schedule.) (do not round intermediate calculations. round your answers to 2 decimal places.)

Experienced problem solvers always consider both the value and units of their answer to a problem. why?