Michael is a sales representative who spends a great deal of time out on the road and infrequently communicates with the rest of his sales team. He is

San ruiz interiors provides design services to residential and commercial clients. the residential services produce a contribution margin of $450,000 and have traceable fixed operating costs of $480,000. management is studying whether to drop the residential operation. if closed, the fixed operating costs will fall by $370,000 and san ruiz’ income will

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

Investment x offers to pay you $5,700 per year for 9 years, whereas investment y offers to pay you $8,300 per year for 5 years. if the discount rate is 6 percent, what is the present value of these cash flows? (do not round intermediate calculations and round your answers to 2 decimal places, e.g., 32.16.) present value investment x $ investment y $ if the discount rate is 16 percent, what is the present value of these cash flows? (do not round intermediate calculations and round your answers to 2 decimal places, e.g., 32.16.) present value investment x $ investment y