Miguel and jake run a paper company. each week they need to produce 1,000 reams of paper to ship to their customers. the paper plant's long-run production function is q = 4k^0.75l^0.25 , where q is the number of reams produced, k is the quantity of capital rented, and l is the quantity of labor hired. for this production function, the mpl = k^0.75 / l^0.75 and the mpk = 3l^0.25 / k^0.25 . the weekly cost function for the paper plant is c = 10k + 2l, where c is the total weekly cost

a. what ratio of capital to labor minimizes jake and paul's total costs?

b. how much capital and labor will jake and paul need to rent and hire in order to produce 1,000 reams of paper each week?

c. how much will hiring these inputs cost them?

Luis and rosa, citizens of costa rica, moved to the united states in year 1 where they both lived and worked. in year 3, they provided the total support for their four young children (all under the age of 10). two children lived with luis and rosa in the u. s., one child lived with his aunt in mexico, and one child lived with her grandmother in costa rica. none of the children earned any income. all of the children were citizens of costa rica. the child in mexico was a resident of mexico, and the child in costa rica was a resident of costa rica. how many total exemptions (personal exemptions plus exemptions for dependents) may luis and rosa claim on their year 3 joint income tax return? a. 6 b. 5 c. 4 d. 2

Consider the following limit order book for a share of stock. the last trade in the stock occurred at a price of $50. limit buy orders limit sell orders price shares price shares $49.75 500 $49.80 100 49.70 900 49.85 100 49.65 700 49.90 300 49.60 400 49.95 100 48.65 600 a. if a market buy order for 100 shares comes in, at what price will it be filled? (round your answer to 2 decimal places.) b. at what price would the next market buy order be filled? (round your answer to 2 decimal places.) c. if you were a security dealer, would you want to increase or decrease your inventory of this stock? increase decrease

What is private equity investing? who participates in it and why? how is palamon positioned in the industry? how does private equity investing compare with public market investing? what are the similarities and differences between the two? why is palamon interested in teamsystem? does it fit with palamon’s investment strategy? how much is 51% of teamsystem’s common equity worth? use both a discounted cash flow and a multiple-based valuation to justify your recommendation. what complexities do cross-border deals introduce? what are the specific risks of this deal? what should louis elson recommend to his partners? is it a go or not? if it is a go, what nonprice terms are important? if it’s not a go, what counterproposal would you make?