Suppose that the total benefit to any one person (all people are identical) of a fireworks display is , where g is the dollar amount of fireworks(thus the marginal cost of $1 worth of fireworks is $1). Also suppose that each person in a town pays an equal share of the cost of the display. Does adding more people to the town make each person better off(in terms of net benefits derived from fireworks displays)? If so, by exactly how much?

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

Select the correct answer the smith family adopted a child. the adoption procedure took about three months, and the family incurred various expenses. will the smiths receive and financial benefit for the taxable year? a) they will not receive any financial benefit for adopting the child b) their income tax component will decrease c) they will receive childcare grants d) they will receive a tax credit for the cost borne for adopting the child e) they will receive several tax deductions

On analyzing her company’s goods transport route, simone found that they could reduce transport costs by a quarter if they merged different transport routes. what role (job) does simone play at her company? simone is at her company.