Apple inc. reports the following for three of its geographic segments for a recent year. ($ millions) americas europe china operating income $ 30,684 $ 16,514 $ 17,032 sales 96,600 54,938 44,764 compute profit margin for each division. (round your answers to 1 decimal place.)

Needs to schedule the staffing of the center. it is open from 8am until midnight. larry has monitored the usage of the center at various times of the day and determined that the following number of computer consultants are required: time of dayminimum number of consultants required to be on duty8 am-noon4noon-4 pm84pm-8pm108pm-midnight6 two types of computer consultants can be hired: full-time and part-time. the full- time consultants work for eight consecutive hours in any of the shifts: morning (8am- 4pm), afternoon (noon-8pm) and evening (4pm-midnight). full-time consultants are paid $14 per hour. part-time consultants can be hired to work any of the four shifts listed in the table. part-time consultants are paid $12 per hour. an additional requirement is that during every time period, there must be at least two full-time consultants on duty for every part-time consultant on duty. larry would like to determine how many full-time and part-time consultants should work each shift to meet the above requirements at the minimum possible cost. formulate this as an lp problem. you must define your variables clearly

Miko willingly admits that she is not an accountant by training. she is concerned that her balance sheet might not be correct. she has provided you with the following additional information. 1. the boat actually belongs to miko, not to skysong, inc.. however, because she thinks she might take customers out on the boat occasionally, she decided to list it as an asset of the company. to be consistent, she also listed as a liability of the corporation her personal loan that she took out at the bank to buy the boat. 2. the inventory was originally purchased for $27,500, but due to a surge in demand miko now thinks she could sell it for $39,600. she thought it would be best to record it at $39,600. 3. included in the accounts receivable balance is $11,000 that miko loaned to her brother 5 years ago. miko included this in the receivables of skysong, inc. so she wouldn’t forget that her brother owes her money. (b) provide a corrected balance sheet for skysong, inc.. (hint: to get the balance sheet to balance, adjust stockholders’ equity.) (list assets in order of liquidity.)

Suppose farmer lane grows and sells cotton in a perfectly competitive industry. the market price of cotton is $1.64 per kilogram, and his marginal cost of production is $1.44 per kilogram, which increases with output. assume farmer lane is currently earning a profit. can farmer lane do anything to increase his profit in the short run? farmer lane: a. cannot do anything to increase his profit. b. may or may not be able to increase his profit. c. can increase his profit by raising his price. d. can increase his profit by producing more output. e. can increase his profit by shutting down.