Acompetitive firm has the production function y = min{ √ l, √ k}, where l is labor and k is capital. suppose that in the short run this firm must use 16 units of capital but can vary its amount of labor freely. (a) write down a formula that describes the marginal product of labor in the short run as a function of the amount of labor used. 1 (b) if the wage is w = $1 and the price of output is p = $4, how much labor will the firm demand in the short run? (c) what if w = $1 and p = $10?

Suppose your rich uncle gave you $50,000, which you plan to use for graduate school. you will make the investment now, you expect to earn an annual return of 6%, and you will make 4 equal annual withdrawals, beginning 1 year from today. under these conditions, how large would each withdrawal be so there would be no funds remaining in the account after the 4th?

9. tax types: taxes are classified based on whether they are applied directly to income, called direct taxes, or to some other measurable performance characteristic of the firm, called indirect taxes. identify each of the following as a “direct tax,” an “indirect tax,” or something else: a. corporate income tax paid by a japanese subsidiary on its operating income b. royalties paid to saudi arabia for oil extracted and shipped to world markets c. interest received by a u.s. parent on bank deposits held in london d. interest received by a u.s. parent on a loan to a subsidiary in mexico e. principal repayment received by u.s. parent from belgium on a loan to a wholly owned subsidiary in belgium f. excise tax paid on cigarettes manufactured and sold within the united states g. property taxes paid on the corporate headquarters building in seattle h. a direct contribution to the international committee of the red cross for refugee relief i. deferred income tax, shown as a deduction on the u.s. parent’s consolidated income tax j. withholding taxes withheld by germany on dividends paid to a united kingdom parent corporation

Who is not spending wisely? erika goes shopping and saves her receipts. she totals how much she spent and writes it down. mia needs to buy a new pair of shoes because she joined the soccer team. she looks at newspaper ads to find the best price. lauren has been thinking about getting a puppy for a long time. she walks by the pet store at the mall and decides to get a puppy. erin makes a purchase online using a credit card. she knows that she can pay the entire bill when it arrives.