Abstract
The general economic problem of turning is fairly well appreciated from a qualitative viewpoint; viz., that the reduction in machining cost as the cutting speed is increased will be eventually more than offset by increased tool changing and grinding costs. The problem involves, however, a great number of variables and it must be conceded as axiomatic that the number of variables which can be conveniently handled mathematically is such that a great deal of generality is lost. There is a further risk of loss of generality in attempting to represent the mathematical results in a form suitable for application, preferably graphical. This paper attempts to achieve the initial goal of including at least the fundamental variables in the analysis and representing the results in a reasonably useful form.

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