Points: 0.33 of 1 Save Suppose a company wants to introduce a new machine that will produce a rate of annual savings (in dollars) given by the function S'(x), where x is the number of years of operation of the machine while producing a rate of annual costs (in dollars) given by the function C'(x) S'(x)= 100-x?. C'(x)=x? + 14 3 -X a. For how many years will it be profitable to use this new machine? The number of profitable years is 6 b. What are the net total savings during the first year of use of the machine? The net total savings during the first year of use of the machine is s (Round to the nearest dollar as needed.) h