Fast Food, Inc., has purchased a new donut maker. It cost $16,000 and has an estimated life of 10 years. The following annual donut sales and expenses are projected (Ignore income taxes.): Sales $ 22,000 Expenses: Flour, etc., required in making donuts $ 10,000 Salaries 6,000 Depreciation 1,600 17,600 Net operating income $ 4,400 Assume cash flows occur uniformly throughout a year except for the initial investment. The payback period on the new machine is closest to:

Ds unlimited has the following transactions during august. august 6 purchases 58 handheld game devices on account from gamegirl, inc., for $140 each, terms 2/10, n/60. august 7 pays $340 to sure shipping for freight charges associated with the august 6 purchase. august 10 returns to gamegirl three game devices that were defective. august 14 pays the full amount due to gamegirl. august 23 sells 38 game devices purchased on august 6 for $160 each to customers on account. the total cost of the 38 game devices sold is $5,448.51. required: record the transactions of ds unlimited, assuming the company uses a perpetual inventory system. (if no entry is required for a transaction/event, select "no journal entry required" in the first account field. round your answers to 2 decimal places.)

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.

Define the marginal rate of substitution between two goods (x and y). if a consumer’s preferences are given by u(x, y) = x3/4y1/4, compute the consumer’s marginal rate of substitution as a function of x and y. calculate the mrs if the consumer has chosen to consumer 48 units of x and 16 units of y. show your work. (use the back of the page if necessary.