11.13. A manufacturer of cutting tools has developed two empirical equations for tool life in hours (y1) and for tool cost in dollars (y2). Both models are linear functions of steel hardness

(x1) and manufacturing time (x2). The two equations are

and both equations are valid over the range !1.5 # xi # 1.5.
Unit tool cost must be below $27.50 and life must exceed 12 hours for the product to be competitive. Is there a feasible set of operating conditions for this process? Where would you recommend that the process be run?

Transcribed Image Text:

=10+5x+2x2 223 +3x+4x2