1. Cardinal Inc. makes a variety of electronic products. Its camera manufacturing plant is considering choosing...
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1. Cardinal Inc. makes a variety of electronic products. Its camera manufacturing plant is considering choosing between two different processes named Alpha and Beta, which can be used to make two component parts A and B. To make the correct decision, the managers would like to compare the multi-factor productivity of process Alpha with that of process Beta. The value of process output for component A and B are $175 and $150 per unit, respectively. The corresponding overhead cost is $6,000 for Alpha process and $5,000 for Beta process. The table below presents detailed information. Process Alpha Product A Output (units) 60 Labor (S) $1200 Material (S) $2500 Process Beta Product B Product A 60 $1400 $3000 40 $1000 $1500 Product B 80 $2000 $3500 Please answer the following questions: a. Please compute the multifactor productivity for process Alpha and Beta. Which process, Alpha or Beta, is more productive? Which one would you recommend? b. If the company chooses the process you recommend, how much increase in productivity (in percentage) the company will get? 2. The management of a line that fills cereal boxes wants to check the quality of the process. The results from the last 10 samples are presented in the table below. Sample 1 12 3 14 5 6 17 8 19 10 Observation 1 32.07 32.21 32.10 32.20 32.37 32.28 32.22 32.37 32.42 33.03 12 13 32.00 32.43 32.1732.57 32.29 32.17 32.2832.02 32.41 32.50 32.1232.03 32.05 32.05 32.25 32.52 33.07 32.20 32.3532.17 32.26 32.17 32.0732.87 32.27 32.16 32.2132.02 32.29 32.07 32.1032.60 32.15 32.45 32.03 32.20 32.1932.05 32.35 32.67 a. Construct the upper and lower control limits for an x-bar chart and R chart. b. Do you think the process in control? Why? 0 3. The figure below is an Activity on Arrow (AOA) network diagram for a project. The lettered A through G represents an activity as shown in the accompanying precedence diagram. The deterministic time for each activity is in the node. Please answer the following questions: 1) Which path is the critical path? What is the length of the expected time of the project? 2) Determine the following quantities for each activity: the earliest start time, the latest start time, the earliest finish time and the latest finish time and the slack time. Please present your answer in a table. 4. Below is the table which includes the information of a new project of ABC Inc. Table 1 Normal Crashing Crashing Activity Predecessor Time (days) Time (days) Cost/day A $200 B C D E F G H A B A, C B E, D, G 5 7 5 10 5 9 4 8 1 1 1 2 1 2 1 1 $500 $200 $300 $400 $650 $500 $350 Please answer the following questions: (1) Draw the network corresponding to the information of Table 1. (2) Using Table 1, please show each step of the process of crashing of this project. What is the minimum completion time for this project after crashing? What is the minimum crashing cost? 1. Cardinal Inc. makes a variety of electronic products. Its camera manufacturing plant is considering choosing between two different processes named Alpha and Beta, which can be used to make two component parts A and B. To make the correct decision, the managers would like to compare the multi-factor productivity of process Alpha with that of process Beta. The value of process output for component A and B are $175 and $150 per unit, respectively. The corresponding overhead cost is $6,000 for Alpha process and $5,000 for Beta process. The table below presents detailed information. Process Alpha Product A Output (units) 60 Labor (S) $1200 Material (S) $2500 Process Beta Product B Product A 60 $1400 $3000 40 $1000 $1500 Product B 80 $2000 $3500 Please answer the following questions: a. Please compute the multifactor productivity for process Alpha and Beta. Which process, Alpha or Beta, is more productive? Which one would you recommend? b. If the company chooses the process you recommend, how much increase in productivity (in percentage) the company will get? 2. The management of a line that fills cereal boxes wants to check the quality of the process. The results from the last 10 samples are presented in the table below. Sample 1 12 3 14 5 6 17 8 19 10 Observation 1 32.07 32.21 32.10 32.20 32.37 32.28 32.22 32.37 32.42 33.03 12 13 32.00 32.43 32.1732.57 32.29 32.17 32.2832.02 32.41 32.50 32.1232.03 32.05 32.05 32.25 32.52 33.07 32.20 32.3532.17 32.26 32.17 32.0732.87 32.27 32.16 32.2132.02 32.29 32.07 32.1032.60 32.15 32.45 32.03 32.20 32.1932.05 32.35 32.67 a. Construct the upper and lower control limits for an x-bar chart and R chart. b. Do you think the process in control? Why? 0 3. The figure below is an Activity on Arrow (AOA) network diagram for a project. The lettered A through G represents an activity as shown in the accompanying precedence diagram. The deterministic time for each activity is in the node. Please answer the following questions: 1) Which path is the critical path? What is the length of the expected time of the project? 2) Determine the following quantities for each activity: the earliest start time, the latest start time, the earliest finish time and the latest finish time and the slack time. Please present your answer in a table. 4. Below is the table which includes the information of a new project of ABC Inc. Table 1 Normal Crashing Crashing Activity Predecessor Time (days) Time (days) Cost/day A $200 B C D E F G H A B A, C B E, D, G 5 7 5 10 5 9 4 8 1 1 1 2 1 2 1 1 $500 $200 $300 $400 $650 $500 $350 Please answer the following questions: (1) Draw the network corresponding to the information of Table 1. (2) Using Table 1, please show each step of the process of crashing of this project. What is the minimum completion time for this project after crashing? What is the minimum crashing cost?
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Operations Management Processes and Supply Chains
ISBN: 978-0132807395
10th edition
Authors: Lee J. Krajewski, Larry P. Ritzman, Manoj K. Malhotra
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