answer all questions with explanation

A cylindrical shaft is used to assemble with two block bearings inside the machine A. The outer diameter of the shaft is a crucial in order to t into the block bearings. The specications of the outer diameter size are 4.4 :t 0.2 mm. The unit costs of the scrap and rework are RM 120 and RMZS, respectively. The production rate per day is 1500. Random samples of size 4 are collected and the sample average diameter and range are computed. After 25 samples, we have 25 25 2?, = 107.5 ; 2R1: 12.5 i=1 i=1 (i) Determine the X-bar and R-chart control limits. (6 marks) (ii) Assuming that the process is in control, determine its standard deviation. (2 marks) (iii) Determine the proportion of scrap and rework. (5 marks) (iv) Determine the total daily cost of scrap and rework. (4 marks)