Spirit Airlines has wall monitors that show media interactions in real time. As a message appears on the screen, the system recognizes whether the comment is positive or negative so the Spirit team can respond to customers and ensure that they have a positive experience. This is an example of .

Management discovers that a supervisor at one of its restaurant locations removes excess cash and resets sales totals throughout the day on the point-of-sale (pos) system. at closing, the supervisor deposits cash equal to the recorded sales on the pos system and keeps the rest.the supervisor forwards the close-of-day pos reports from the pos system along with a copy of the bank deposit slip to the company’s revenue accounting department. the revenue accounting department records the sales and the cash for the location in the general ledger and verifies the deposit slip to the bank statement. any differences between sales and deposits are recorded in an over/short account and, if necessary, followed up with the location supervisor. the customer food order checks are serially numbered, and it is the supervisor’s responsibility to see that they are accounted for at the end of each day. customerchecks and the transaction journal tapes from the pos system are kept by the supervisor for 1 week at the location and then destroyed.what control allowed the fraud to occur?

Suppose a firm faces a fixed price of output, 푝푝= 1200. the firm hires workers from a union at a daily wage, 푤푤, to produce output according to the production function 푞푞= 2퐸퐸12. there are 225 workers in the union. any union worker who does not work for this firm is guaranteed to find nonunion employment at a wage of $96 per day. a.what is the firm’s labor demand function? b.if the firm is allowed to choose 푤푤, but then the union decides how many workers to provide (up to 225) at that wage, what wage will the firm set? how many workers will the union provide? what is the firm’s output and profit? what is the total income of the 225 union workers? c.now suppose that the union sets the wage, but the firm decides how many workers to hire at that wage (up to 225). what wage will the union set to maximize the total income of all 225 workers? how many workers will the firm hire? what is the firm’s output and profit? what is the total income of the 225 union workers? [hint: to maximize total income of union, take the first order condition with respect to w and set equal to 0.]

Atrough in the business cycle occurs when