3. ELMO, a manufacturer of electric motors, has just purchased a machine tool for winding coils...

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3. ELMO, a manufacturer of electric motors, has just purchased a machine tool for winding coils of electric motors. Initial trials with the machine indicate that the number of rejects produced varies with the running speed of the machine. The results of the six trials for various speed settings are as follows: 30 40 50 1 2 0 1 2 2 1 Speed Trial 1 2 3 4 5 6 1 3 3 1 2 3 4 4 2 2 3 60 5 6 4 4 5 70 6 7 5 5 7 6 80 8 9 7 7 10 7 90 coils/hr 11 rejects 10 rejects 9 rejects 11 rejects 10 rejects 10 rejects Rejects have to be scrapped. The material cost of each coil is €2.60. The machine operator is paid at a rate of €22/hour. It costs €6 to operate the machine for one hour. 10,000 good coils have to be produced for a given type of motor. The total cost of producing this batch is used as the performance measure for setting the machine speed. Note that to end up with 10,000 good coils more than 10,000 coils will have to be wound. The size of the batch that needs to be scheduled is equal to 10,000/(1-fraction of rejects). The fraction of rejects is a function of the machine speed. (d) Develop a table or a spreadsheet containing one row for each variable and one for the total cost and columns for the running speeds listed above. Graph the results and identify the range where the lowest cost is likely to lie. Use the table to determine the best speed setting. 3. ELMO, a manufacturer of electric motors, has just purchased a machine tool for winding coils of electric motors. Initial trials with the machine indicate that the number of rejects produced varies with the running speed of the machine. The results of the six trials for various speed settings are as follows: 30 40 50 1 2 0 1 2 2 1 Speed Trial 1 2 3 4 5 6 1 3 3 1 2 3 4 4 2 2 3 60 5 6 4 4 5 70 6 7 5 5 7 6 80 8 9 7 7 10 7 90 coils/hr 11 rejects 10 rejects 9 rejects 11 rejects 10 rejects 10 rejects Rejects have to be scrapped. The material cost of each coil is €2.60. The machine operator is paid at a rate of €22/hour. It costs €6 to operate the machine for one hour. 10,000 good coils have to be produced for a given type of motor. The total cost of producing this batch is used as the performance measure for setting the machine speed. Note that to end up with 10,000 good coils more than 10,000 coils will have to be wound. The size of the batch that needs to be scheduled is equal to 10,000/(1-fraction of rejects). The fraction of rejects is a function of the machine speed. (d) Develop a table or a spreadsheet containing one row for each variable and one for the total cost and columns for the running speeds listed above. Graph the results and identify the range where the lowest cost is likely to lie. Use the table to determine the best speed setting.

Answer rating: 100% (QA)

The first step is to tabulate the data and calculate the total reject per column of speed Speed 30 4... View the full answer