Dante works for a major commodities company in Eagan, MN. He buys or sells his commodities using proprietary algorithms that utilize the New York Stock Exchange prices in real time. If the prices move up 3% he automatically sells, if the prices move down 3% he automatically buys. Using the stock exchange in this scenario is a form of .

It is week 1 and there are currently 20 as in stock. we need 300 as at the start of week 5. if there are scheduled receipts planned for week 3 and week 4 of 120 as each and a has a lead time of 1 week, when and how large of an order should be placed to meet the requirement of 300 as?

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

At a small store, a customer enters the front door on average every 8 minutes. a prior study indicated that the time between customers entering the front door during weekdays follows an exponential distribution. what is the probability that the time between customers entering the store on a weekday will be less than or equal to 7? select one: a. 62 b. 43 c. 1/8 d. 7/8 e. 58