1. This study (work sampling*) is focusing on machine operations. Using the following data, a) Categorize the events into the interesting activities such as machine idle (), machine servicing (S). Observed Data Number of Observation 222 48 17 Machine Running Remove Scrap Change tool Change material Adjust die Wait for maintenance service Wait for next material 12 53 25 Observed Data Categorize Number of Observation S (Service) I (Idle) 222 S.... ..... 48 17 Machine Running Remove Scrap Change tool Change material Adjust die Wait for maintenance service Wait for next material 23 S.... S.... ..... S.... ...... S.... ...... | b) What % (p) of the time Machine is down (not idle but "serviced by the operator") roughly? Observed Data Categorize Number of Observation S (Service) 1 (idle) 222 Machine Running Remove Scrap Change tool Change material Adjust die Wait for maintenance service Wait for next material 60 S.... S.... S.... S.... S.... S..... ...... ..... | ..... ..... ..... | ..... 23 53 b) What % (p) of the time Machine is down (not idle but "serviced by the operator") roughly? c) An analyst determined that the machining time (Tm) per piece was 40min. What is the actual production for the one machine supervised by one operator for an 8-hour shift given the above conditions? d) What is the unit cost? The operator is paid $10.00/hr and each machine costs $20.00/hr for power and supplies. Since there is so much lost production due to idle time, management is considering assigning another machine to the first operator. There are three approaches or choices: i) Assign Machines #1 to the first operator and Machines #2 to the second operator, or ii) have both operators help each other and service all two machines as needed. iii) Assign Machines #1 and #2 to the first operator and don't assign a second operator. Which choice is best, i.e. lowest unit cost? e) *) Work sampling is a statistical technique for determining the proportions of time spent by subjects (e.g., workers, machines) in various defined categories of activity (e.g., setting up a machine, producing parts, idle)