A series of tool life tests were performed on a lathe that resulted in the following data: (1) when the cutting speed was 350 ft/min, the tool life was 169.68 min; (2) when the cutting speed was 430 ft/min, the tool life was 71.97 min. (a) Determine the n and C values in the Taylor tool life equation, (b) based on the n and C values, what is the likely type of tool material used in this operation?, (c) using your Taylor tool life equation, compute the tool life that corresponds to a cutting speed of 510 ft/min, (d) compute the cutting speed that corresponds to a tool life of 1 hour.