Chris co. is considering replacing an old machine. the old machine was purchased for $100,000 and has a book value of $40,000 and should last four more years. chris co. believes that it can sell the old machine for $50,000. the new machine cost $80,000 and will have a 4-year life and a $10,000 salvage value. currently, it cost $20,000 annually to operate the old machine. the new machine is more efficient and should reduce operating cost by 50%. based on quantitative analysis, calculate the relevant costs and indicate if chris co. should replace the old machine?
a. no, because the relevant cost of the new machine is $10,000 more than the cost of the old machine.
b. yes, because the relevant cost of the new machine is $10,000 less than the cost of the old machine.
c. no, because the relevant cost of the new machine is $20,000 more than the cost of the old machine.
d. yes, because the relevant cost of the new machine is $20,000 less than the cost of the old machine.

Suppose your rich uncle gave you $50,000, which you plan to use for graduate school. you will make the investment now, you expect to earn an annual return of 6%, and you will make 4 equal annual withdrawals, beginning 1 year from today. under these conditions, how large would each withdrawal be so there would be no funds remaining in the account after the 4th?

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

Your uncle is considering investing in a new company that will produce high quality stereo speakers. the sales price would be set at 1.5 times the variable cost per unit; the variable cost per unit is estimated to be $75.00; and fixed costs are estimated at $1,200,000. what sales volume would be required to break even, i. e., to have ebit = zero?