A cemented carbide tool is used to turn a part with length=18in and diameter=3 in. The parameters in the Taylor equation are n=0.27 and C=1200. The rate for the operator and machine tool= $33/hr, and the tooling cost per cutting edged= $2. It takes 3.0 min to load and unload the workpart and 1.5 min to change tools. The feed = 0.013 in/rev. Determine,
a) Cutting speed for maximum production rate
b) Toollifeinminofcutting
c) Cycle time and cost per unit of product.