A manufacturer of cutting tools has developed two empirical equations for tool life (y1) and tool cost (y2). Both models are functions of tool hardness (x1) and manufacturing time (x2). The equations are

and both equations are valid over the range 1.5 xi 1.5.
Suppose that tool life must exceed 12 hours and cost must be below $27.50.

(a) Is there a feasible set of operating conditions?

(b) Where would you run this process?

Transcribed Image Text:

= 10 + 5x + 2x = 23 + 3x + 4x2