Cecelia's government provides for her basic needs. in return, cecelia works in the factory downtown, as she always has since the government assigned her there. cecelia's government can be considered

Afirm produces a product in a competitive industry and has a total cost function (tc) of tc(q) = 60 + 10q + 2q2 and a marginal cost function (mc) of mc(q) = 10 + 4q. at the given market price (p) of $20, the firm is producing 5.00 units of output. is the firm maximizing profit? no what quantity of output should the firm produce in the long run? the firm should produce unit s) of output. (enter your response as an integer.)

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

Sam and diane are completing their federal income taxes for the year and have identified the amounts listed here. how much can they rightfully deduct? • agi: $80,000 • medical and dental expenses: $9,000 • state income taxes: $3,500 • mortgage interest: $9,500 • charitable contributions: $1,000.