A young engineer wishes to become a millionaire by the time she is 60 years old. She believes that by careful investment she can obtain a 15% annual rate of return. She plans to add a uniform sum of money to her investment program each year, beginning on her 20th birthday and continuing through her 59th birthday. How much must the engineer set aside in this project each year?

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.]

Why do you think the compensation plans differ at the two firms? in particular, why do you think kaufmann’s pays commissions to salespeople, while parkleigh does not? why does parkleigh offer employees discounts on purchases, while kaufmann’s does not?

Companies hd and ld are both profitable, and they have the same total assets (ta), total invested capital, sales (s), return on assets (roa), and profit margin (pm). both firms finance using only debt and common equity. however, company hd has the higher total debt to total capital ratio. which of the following statements is correct? a) company hd has a higher assets turnover than company ld. b) company hd has a higher return on equity than company ld. c) none of the other statements are correct because the information provided on the question is not enough. d) company hd has lower total assets turnover than company ld. e) company hd has a lower operating income (ebit) than company ld