A large U. S. corporation is entering a foreign market but is having significant delays in acquiring the necessary permits to begin operations. A local official tells the project manager that a financial incentive should be paid to speed up the permit process. The official stresses that other companies engage in this practice and that it is acceptable in the local culture, so the project manager pays the incentive. How is this action characterized

Marvin wrote a check of $58.25 for the water bill and $450 for rent. he also made a deposit of $124.16. how much is his new balance after writing the checks and making the deposit?

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

Ben collins plans to buy a house for $166,000. if the real estate in his area is expected to increase in value by 2 percent each year, what will its approximate value be five years from now?