The bore through a precision steel gear [ a = 10.8 x 106 m/(m C) ] is manufactured using a hard turning process. The bore diameter specification is 25 mm +/-0.005 mm (25.005 mm maximum and 24.995 mm minimum). Temperature measurements confirm that the gear temperature increases by an average of 50C during machining. Assume that the ambient temperature of the facility is 20C. A Purdue engineer (from IE 570) designed the machining process to maintain the bore diameter of 24.996 mm to 25.000 mm. This in-process size is confirmed by a measurement system just prior to removing the gear from the machine. (a) What is the new size range of the bore after the part finally cools to the facility ambient temperature of 20C? (b) Does the part meet the bore size specification? Explain your answer. (c) What if any changes need to be made to the process?