Tracy won a $100 million jackpot. She can receive the jackpot as a $5 million payment each year for 20 years, or she can ask to receive the present value of all those payments all at once now. Assume an annual interest rate of 5 percent. If she decides to take the present value payment, about how much will she receive

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

The cutting department of cassel company has the following production and cost data for july. production costs 1. transferred out 12,300 units. beginning work in process $0 2. started 3,900 units that are 60% materials 62,856 complete as to conversion labor 12,622 costs and 100% complete as manufacturing overhead 23,100 to materials at july 31. materials are entered at the beginning of the process. conversion costs are incurred uniformly during the process. determine the equivalent units of production for (1) materials and (2) conversion costs. materials conversion costs total equivalent units of production link to text link to text compute unit costs. (round unit costs to 2 decimal places, e.g. 2.25.) materials $ conversion costs $ link to text link to text prepare a cost reconciliation schedule. (round unit costs to 2 decimal places, e.g. 2.25 and final answers to 0 decimal places, e.g. 1,225.) cost reconciliation costs accounted for transferred out $ work in process, july 31 materials $ conversion costs total costs $

Suppose an economy has only two sectors: goods and services. each year, goods sells 80% of its outputs to services and keeps the rest, while services sells 62% of its output to goods and retains the rest. find equilibrium prices for the annual outputs of the goods and services sectors that make each sector's income match its expenditures.