A cemented carbide tool is used to turn a part with a length of 14.0 in and diameter = 4.0 in. The parameters in the Taylor equation are: n=0.25 and C=1000 (ft/min). The rate for the operator and machine tool = $45/hr, and the tooling cost per cutting edge = $2.50. It takes 2.5 min to load and unload the work part and 1.50 min to change tools. The feed = 0.015 in/rev. Determine
(a) cutting speed for maximum production rate,
(b) tool life in min of cutting, and
(c) cycle time and cost per unit of product.