Suppose a company has fixed costs of $48,000 and variable cost per unit of 2 5 x + 333 dollars, where x is the total number of units produced. suppose further that the selling price of its product is 1865 − 3 5 x dollars per unit. find the break-even points. (enter your answers as a comma-separated list.) x =

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

Conor is 21 years old and just started working after college. he has opened a retirement account that pays 2.5% interest compounded monthly. he plans on making monthly deposits of $200. how much will he have in the account when he reaches 591 years of age?

Careers in designing, planning, managing, building and maintaining the built environment can be found in the following career cluster: a. agriculture, food & natural resources b. architecture & construction c. arts, audio-video technology & communications d. business, management & administration