If labor produces output according to Q = 8 L 1/2, labor costs $10, and output sells for $100, then the optimal level of L is:

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 following information relates to wagner, inc.: advertising costs $ 18 comma 600 administrative salaries 17 comma 800 delivery vehicle depreciation 1 comma 500 factory repair and maintenance 600 indirect labor 10 comma 000 indirect materials 18 comma 000 manufacturing equipment depreciation 3 comma 000 office rent 58 comma 000 president's salary 1 comma 100 sales revenue 600 comma 000 sales salary 5 comma 200 how much were wagner's period costs

Mr. smith recently faced a choice between being (a) an economics profes-sor, which pays $60,000/yr, or (b) a safari leader, which pays $50,000/yr. after careful deliberation, smith took the safari job, but it was a close call. "for a dollar more," he said, "i'd have gone the other way."now smith's brother-in-law approaches him with a business proposition. the terms are as follows: - smith must resign his safari job to work full-time in his brother-in-law's business.- smith must give his brother-in-law an interest-free loan of $100,000, which will be repaid in full if and when smith leaves the business. (smith currently has much more than $100,000 in the the business will pay smith a salary of $70,000/yr. he will receive no other payment from the business.the interest rate is 10 percent per year. apart from salary considerations, smith feels that working in the business would be just as enjoyable as being an economics professor. for simplicity, assume there is no uncertainty regarding either smith's salary in the proposed business or the security of his monetary investment in it. should smith join his brother-in-law and, if so, how small would smith's salary from the business have to be to make it not worthwhile for him to join? if not, how large would smith's salary from the business have to be to make it worthwhile for him to join?