Aaron is a pipeline welder at the midamerican energy company. recently, he had to make a decision about which torch to order for his job. based on past experience, aaron knew that if he selected a discount torch, there was a 95% chance that his manager would authorize the expenditure, but that if he selected a more expensive, brand-name torch, there was only a 50% chance that his manager would authorize the purchase. aaron's decision about which torch to purchase is being made under conditions of , because:

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

Ds unlimited has the following transactions during august. august 6 purchases 58 handheld game devices on account from gamegirl, inc., for $140 each, terms 2/10, n/60. august 7 pays $340 to sure shipping for freight charges associated with the august 6 purchase. august 10 returns to gamegirl three game devices that were defective. august 14 pays the full amount due to gamegirl. august 23 sells 38 game devices purchased on august 6 for $160 each to customers on account. the total cost of the 38 game devices sold is $5,448.51. required: record the transactions of ds unlimited, assuming the company uses a perpetual inventory system. (if no entry is required for a transaction/event, select "no journal entry required" in the first account field. round your answers to 2 decimal places.)

Why are there so many types of diversion programs for juveniles