Suppose the revenue (in dollars) for a company is given by R (x )equals 80 x minus 0.03 x squared, where x is the number of items sold. Find the marginal revenue when 1000 items are sold, and write a sentence or phrase explaining its meaning. Use correct units in your answer.

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?

The management of a supermarket wants to adopt a new promotional policy of giving a free gift to every customer who spends > a certain amount per visit at this supermarket. the expectation of the management is that after this promotional policy is advertised, the expenditures for all customers at this supermarket will be normally distributed with a mean of $95 and a standard deviation of $20. if the management wants to give free gifts to at most 10% of the customers, what should the amount be above which a customer would receive a free gift?

Xinhong company is considering replacing one of its manufacturing machines. the machine has a book value of $39,000 and a remaining useful life of 5 years, at which time its salvage value will be zero. it has a current market value of $49,000. variable manufacturing costs are $33,300 per year for this machine. information on two alternative replacement machines follows. alternative a alternative b cost $ 115,000 $ 117,000 variable manufacturing costs per year 22,900 10,100 1. calculate the total change in net income if alternative a and b is adopted. 2. should xinhong keep or replace its manufacturing machine