Make a list of possible pair of numbers that have lcm of 48

Abusiness cycle reflects in economic activity, particularly real gdp. the stages of a business cycle

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

As a project manager for a large construction company, shaun decided to make the performance appraisal process as painless as possible for his crew. he spent a considerable amount of time creating performance standards he felt were reasonable, and after six months' time, he scheduled individual appointments with each worker to discuss strengths and weaknesses and areas that needed improvement according to the standards he privately set. some employees were sent to vestibule training, and one even got a promotion with additional compensation. what did he fail to do correctly