Crescent Manufacturing, a fictional firm, produces camshafts used in automobiles. A lathing machine is used in the cutting process of producing the camshafts. The production manager of the company uses X-bar and R control charts to monitor the variation in the cutting process. When a shift towards a control limit is detected, he finds that the cutting tool is wearing and so replaces it, bringing the process back into control. The cutting tool wears at the rate of 0.003 centimeters per piece. The cutting process is normally distributed and has a process standard deviation (σ).

Specifications for the camshaft diameter are between 10 centimeters and 10.2 centimeters. Both the lower and upper specifications include a 3σ cushion to minimize the risk of production output falling outside of specifications. Determine the number of camshafts that this process can turnout before replacement of the cutting tool becomes necessary.