Suppose a company wants to introduce a new machine that will produce a marginal annual savings in dollars given by upper s prime left parenthesis x right parenthesis equals startfraction 525 over 4 endfraction minus x squared , where x is the number of years of operation of the machine, while producing marginal annual costs in dollars of upper c prime left parenthesis x right parenthesis equals x squared plus startfraction 19 over 4 endfraction x . a. to maximize its net savings, for how many years should the company use this new machine? b. what are the net savings during the first year of use of the machine? c. what are the net savings over the period determined in part a?

You wants to open a saving account.which account will grow his money the most

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

:; )write a paragraph of two to three sentences and describe what will happen to a society that does not have a productive workforce?