Marshall has received an inheritance and wants to invest a sum of money today that will yield $4,300 at the end of each of the next 10 years. Assuming he can earn an interest rate of 5% compounded annually, how much of his inheritance must he invest today

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

Newton industries is considering a project and has developed the following estimates: unit sales = 4,800, price per unit = $67, variable cost per unit = $42, annual fixed costs = $11,900. the depreciation is $14,700 a year and the tax rate is 34 percent. what effect would an increase of $1 in the selling price have on the operating cash flow?

During which of the following phases of the business cycle does the real gdp fall? a. trough b. expansion c. contraction d. peak