John and Mary Johnson were divorced in January 2018. By terms of their divorce decree John had to pay alimony to Mary at the rate of $50,000 in 2018, $25,000 in 2019, and zero in 2020. For the first three years of the agreement, determine what portions of the payments are deductible by John and includible in Mary's gross income.

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

Explain the relationship between consumers and producers in economic growth and activity

Which of the following describes a situation of scarcity? a. someone offers free advice about getting into college. b. someone distributes free bottles of water at the beach. c. a child charges friends for a ride on his new bike. d. a person lets the kids in the neighborhood use his pool.