The production possibilities frontier has a bowed-out shape because the quantity of guns the economy must give up in order to produce more butter the more butter is produced. in other words, the opportunity cost of butter with increased production.

Historically, 12 percent of a mail-order firm's repeat charge-account customers have an incorrect current address in the firm's computer database. the number of customers out of 19 who have an incorrect address in the database is a binomial random variable with n = 19 and 2formula36.mml = 0.12.

The treasurer for pittsburgh iron works wishes to use financial futures to hedge her interest rate exposure. she will sell five treasury futures contracts at $139,000 per contract. it is july and the contracts must be closed out in december of this year. long-term interest rates are currently 7.30 percent. if they increase to 9.50 percent, assume the value of the contracts will go down by 20 percent. also if interest rates do increase by 2.2 percent, assume the firm will have additional interest expense on its business loans and other commitments of $149,000. this expense, of course, will be separate from the futures contracts. a. what will be the profit or loss on the futures contract if interest rates increase to 9.50 percent by december when the contract is closed out

Suppose you manage an upscale restaurant in new york city. would involve writing employee schedules and a list of things to do for the chef and other kitchen staff