At elliot's dog walking service, the only input is labor. elliot's labor costs are $300 per day and his service walks 30 dogs per day. to walk 31 dogs per day, his labor costs would increase to $305 per day. if the price is $12 for the service, is it optimal to walk the thirty-first dog?

Torino company has 1,300 shares of $50 par value, 6.0% cumulative and nonparticipating preferred stock and 13,000 shares of $10 par value common stock outstanding. the company paid total cash dividends of $3,500 in its first year of operation. the cash dividend that must be paid to preferred stockholders in the second year before any dividend is paid to common stockholders is:

Employees at a library check out books to patrons. books have an isbn and a name. the library sometimes has multiple copies of the same book. books have one or more authors. a patron is an individual who has an active (non-expired) library card. for each library card, we store the person's first and last names and their address. for each employee, we store their employee id, current salary, first and last name and their address. we also store the employee id of their current manager. each time we check out a book to a patron we need to store the date of the transaction, the employee who checked out the book to the patron, and the library card of the patron. some employees have library cards. if an employee patron turns in a book late, the fine that they pay is a percentage of their salary. some employees are authors who have library cards—they are allowed to check out as many books as they like.

Winners of the georgia lotto drawing are given the choice of receiving the winning amount divided equally over 2121 years or as a lump-sum cash option amount. the cash option amount is determined by discounting the annual winning payment at 88% over 2121 years. this week the lottery is worth $1616 million to a single winner. what would the cash option payout be?