Consider a consumer who has preferences over consumption today, x1, and consumptiontomorrow, x2. the consumer has an endowment igiven by (m1, m2), they receivem1inincome today andm2in income tomorrow. they can borrow money today at interest rater: they must pay back (1 +r) times the amount tomorrow. they can also save money todaythat will give them (1 +r) times the amount tomorrow. assume thatr > 0.suppose the consumer’s preferences are represented byu(x1, x2) = 2 ln(x1) + ln(x2). withthis utility function, they "care more" about consumption today. if the consumer initiallyhas an endowment given by (15,15), does changing the endowment to (12,18) make thembetter off, worse off, or can you tell? explain your answer.

What is the difference between a public and a private corporation?

Captain john's yachts, inc., located in fort lauderdale, florida, rents three types of ocean-going boats: sailboats, cabin cruisers, and captain john's favorite, the luxury yachts. captain john advertises his boats with his famous "you rent"we pilot" slogan, which means that the company supplies the captain and crew for each rented boat. each rented boat has one captain, of course, but the crew sizes (deck hands, galley hands, etc.) differ. the crew requirements, in addition to a captain, are one for sailboats, two for cabin cruisers, and three for yachts. ten employees are captains, and an additional 18 employees fill the various crew positions. currently, captain john has rental requests for all his boats: four sailboats, eight cabin cruisers, and three luxury yachts. if captain john's daily profit contribution is $50 for sailboats, $70 for cruisers, and $100 for luxury yachts, how many boats of each type should he rent?

Instructions: use the following information to construct the 2000 balance sheet and income statement for carolina business machines. round all numbers to the nearest whole dollar. all numbers are in thousands of dollars. be sure to read the whole problem before you jump in and get started. at the end of 1999 the firm had $43,000 in gross fixed assets. in 2000 they purchased an additional $14,000 of fixed asset equipment. accumulated depreciation at the end of 1999 was $21,000. the depreciation expense in 2000 is $4,620. at the end of 2000 the firm had $3,000 in cash and $3,000 in accounts payable. in 2000 the firm extended a total of $9,000 in credit to a number of their customers in the form of accounts receivable. the firm generated $60,000 in sales revenue in 2000. their cost of goods sold was 60 percent of sales. they also incurred salaries and wages expense of $10,000. to date the firm has $1,000 in accrued salaries and wages. they borrowed $10,000 from their local bank to finance the $15,000 in inventory they now have on hand. the firm also has $7,120 invested in marketable securities. the firm currently has $20,000 in long-term debt outstanding and paid $2,000 in interest on their outstanding debt. over the firm's life, shareholders have put up $30,000. eighty percent of the shareholder's funds are in the form of retained earnings. the par value per share of carolina business machines stock is