If the units of variable input in a production process are 1, 2, 3, 4, and 5, and the corresponding total outputs are 30, 34, 37, 39, and 40, respectively. The marginal product of the fourth unit is:

A. 2
B. 1
C. 37
D. 39

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.]

Spartan credit bank is offering 7.5 percent compounded daily on its savings accounts. you deposit $5,900 today. a. how much will you have in the account in 4 years? (use 365 days a year. do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) b. how much will you have in the account in 12 years? (use 365 days a year. do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) c. how much will you have in the account in 19 years?

For the year, uptowne furniture had sales of $818,790, costs of $748,330, and interest paid of $24,450. the depreciation expense was $56,100 and the tax rate was 34 percent. at the beginning of the year, the firm had retained earnings of $172,270 and common stock of $260,000. at the end of the year, retained earnings was $158,713 and common stock was $280,000. any tax losses can be used. what is the amount of the dividends paid for the year? a. $6,466 b. $7,566 c. $5,266 d. $6,898 e. $7,066