Machine X has an initial cost of $12,000 and annual maintenance of $700 per year. It has a useful life of four years and no salvage value at the end of that time. Machine Y costs $22,000 initially and has no maintenance costs during the first year. Maintenance is $200 at the end of the second year and increases by $200 per year thereafter. Machine Y has a useful life of eight years and an anticipated salvage value of $5,000 at the end of its useful life. If the MARR is 6%, what is the approximate Net Present Worth (NPW) of machine 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

Demand increases by less than supply increases. as a result, (a) equilibrium price will decline and equilibrium quantity will rise. (b) both equilibrium price and quantity will decline. (c) both equilibrium price and quantity will rise

Tom has brought $150,000 from his pension to a new job where his employer will match 401(k) contributions dollar for dollar. each year he contributes $3,000. after seven years, how much money would tom have in his 401(k)?