Suppose a company wants to introduce a new machine that will produce a marginal annual savings in dollars 375 given by S'(x) = T - x2, where x is the number of years of operation of the machine, while producing marginal . 2 35 annual costs In dollars of C'(x)=x + TX. 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 rst year of use of the machine? c. What are the net savings over the period determined in part a