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You wish to buy a cabin in 15 years. today, the cabin costs $150,000. you believe the price of the cabin will inflate at 4% annually. you want to invest a single amount of money (lump sum) today and have the money grow to equal the future purchase price of the cabin 15 years from now. if you can earn 10% annually on your investments, how much do you need to invest now, in order to be able to purchase the cabin?

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

A.j. was a newly hired attorney for idle time gaming, inc. even though he reported directly to the president of the company, a.j. noticed that the president always had time to converse with the director of sales, calling on him to get a pulse on legal/regulatory issues that, as the company attorney, a.j. could have probably handled. a.j. also noted that the hr manager’s administrative assistant was the go-to person for a number of things that would make life easier at work. a.j. was recognizing the culture at idle time gaming.