Prepare an aggregate plan that uses overtime ($9 per unit, maximum output 25 units per period) and inventory variation. the primary objective in this problem is to minimize backlogs to the extent possible without having any inventory remaining at the end of period 9. the ending inventory in period 9 should be zero, and the limit on backlogs is 60 units per period. note that total output = total regular output + overtime quantity. compute the total cost of your plan. assume 20 full-time workers. (omit the "$" sign in your response.)

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

While on vacation in las vegas jennifer, who is from utah, wins a progressive jackpot playing cards worth $15,875 at the casino royale. what implication does she encounter when she goes to collect her prize?

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