Suppose your total benefit from eating slices of pizza (value in dollars) is 88x−x^2, where x is the number of slices of pizza. Pizza is sold by the slice and costs $22 per slice, and so the total cost of pizza is 22x. Using optimization in levels, what is the optimal amount of pizza for you to eat?

Which of the following actions is most likely to result in a decrease in the money supply? a. the discount rate on overnight loans is lowered. b. the government sells a new batch of treasury bonds. c. the federal reserve bank buys treasury bonds. d. the required reserve ratio for banks is decreased. 2b2t

Afreelance​ singer-songwriter is planning the restoration of a recently purchased civil​ war-era farmhouse. while he professes an enjoyment​ of, and talent in the construction​ trades, the theory of comparative advantage implies that a. the value of what he imports​ (in this​ case, professional contractor​ services) must equal the value of what he exports​ (songs). b. he should concentrate on the restoration work since his​ out-of-pocket costs will be much lower than if he hires professionals. c. ​self-sufficiency is​ advantageous, hence he should split his time between music and construction. d. the income lost while away from music will likely exceed the savings realized by doing the work​ himself, thus, he should hire professionals to do the restoration work. e. he ought to do as much of the work himself as possible since imports​ (in this​ case, professional contractor​ services) should always be restricted to those things that cannot be done internall

Which of the following best describes why you need to establish goals for your program?