Given the production function q = 4L + K, what is the marginal product of labor when capital is fixed at 50?

You want to have $80,000 in your savings account 11 years from now, and you’re prepared to make equal annual deposits into the account at the end of each year. if the account pays 6.30 percent interest, what amount must you deposit each year? (do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.)

Aproperty title search firm is contemplating using online software to increase its search productivity. currently an average of 40 minutes is needed to do a title search. the researcher cost is $2 per minute. clients are charged a fee of $400. company a's software would reduce the average search time by 10 minutes, at a cost of $3.50 per search. company b's software would reduce the average search time by 12 minutes at a cost of $3.60 per search. which option would have the higher productivity in terms of revenue per dollar of input?

The goal of an economist who formulates new theories is to a. provide an interesting framework of analysis, whether or not the framework turns out to be of much use in understanding how the world works. b. provoke stimulating debate in scientific journals. c. contribute to an understanding of how the world works. d. demonstrate that economists, like other scientists, can formulate testable theories.