Suppose a firm has the following Leontief production function: q = min{L, 3K} a. What is the optimal ratio of workers to capital? Are L and K perfect input complements or perfect input substitutes? b. What is the least cost combination of L and K that the firm should employ to produce 90 units of output when w/r = 1. Does this optimal combination of L and K change when w/r changes? Explain your answer briefly. c. More generally, solve for the firm’s factor demand functions for L and K. d. Using these factor demand functions, derive the firm’s long run cost function. e. What is the marginal cost of an additional unit of q? What is the average cost of each unit of q? How do marginal cost and average cost vary with q?

Chip wilson has hired goldman sachs, an investment banking company, to assist him with a hostile takeover of lululemon. wilson's goal is to hire a new board of directors because he believes there is a need for a more long-term focus. goldman sachs is a proven firm at making a profit in every move that they make. if the hostile takeover does not pan out, what could be another motive for investors?

Imagine you own an established startup with growing profits. you are looking for funding to greatly expand company operations. what method of financing would be best for you?

Miko willingly admits that she is not an accountant by training. she is concerned that her balance sheet might not be correct. she has provided you with the following additional information. 1. the boat actually belongs to miko, not to skysong, inc.. however, because she thinks she might take customers out on the boat occasionally, she decided to list it as an asset of the company. to be consistent, she also listed as a liability of the corporation her personal loan that she took out at the bank to buy the boat. 2. the inventory was originally purchased for $27,500, but due to a surge in demand miko now thinks she could sell it for $39,600. she thought it would be best to record it at $39,600. 3. included in the accounts receivable balance is $11,000 that miko loaned to her brother 5 years ago. miko included this in the receivables of skysong, inc. so she wouldn’t forget that her brother owes her money. (b) provide a corrected balance sheet for skysong, inc.. (hint: to get the balance sheet to balance, adjust stockholders’ equity.) (list assets in order of liquidity.)