During 2019, Jacob, a 19 year old full-time student, earned $4,500 during the year and was not eligible to participate in an employer-sponsored retirement plan. The general limit for deductible contributions to an IRA during 2019 is $6,000. How much of a tax-deductible contribution can Jacob make to an IRA?

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

Amanda works as an industrial designer

Parks corporation is considering an investment proposal in which a working capital investment of $10,000 would be required. the investment would provide cash inflows of $2,000 per year for six years. the working capital would be released for use elsewhere when the project is completed. if the company's discount rate is 10%, the investment's net present value is closest to (ignore income taxes) ?