Congratulations! You have just won the lottery! However, the lottery bureau has just informed you that you can take your winnings in one of two ways. You can elect to receive a payment of $1,000,000 now or a payment of $1,750,000 in five years. Assume you can earn 5% on funds that you invest today. How much money would you have in five years if you take the immediate $1,000,000 payment and invest it? What does this tell you about the wisdom of selecting the immediate payment versus the future payment? Using the same 5% interest rate, what is the present value of the $1,750,000 that you could receive in five years? What does this calculation tell you about which lottery payout option you should choose? What do your results suggest as a general rule for approaching such problems? (Make your choices based purely on the time value of money.)

Stephen barrett, md previous writing experience ?

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

Which of the following best describes why you need to establish goals for your program?