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P1 P4 + P2 → P3 P5 P5 P5 P6 B P1 has a production rate of 15 units/hour, P2 = 30 units/hour, P3 = 10 units per hour, P4 = 4 units/hour, P5 = 1 unit(s) per hour for each P5 and P6 = 6 units per hour. Operation P4 occurs seperately from and simultaneously with operations P1-P3. Operation P5 has three parallel and identical lines; therefore, each part only needs to go through one of the three lines. Consider the following two independent improvements: Improvement 1: Change station P4 into two connected stations (P4-1 and P4-2, connected in series) that have process times of 4 min/unit and 6 min/unit respectively. Improvement 2: Add two additional P5 stations to give you 5 parallel and identical lines. a) Which of the two improvements will provide the largest increase in capacity? What is the yearly capacity of the system with the improvement you suggested? Assume the process runs 40 hours

P1 P4 + P2 → P3 P5 P5 P5 P6 B P1 has a production rate of 15 units/hour, P2 = 30 units/hour, P3 = 10 units per hour, P4 = 4 units/hour, P5 = 1 unit(s) per hour for each P5 and P6 = 6 units per hour. Operation P4 occurs seperately from and simultaneously with operations P1-P3. Operation P5 has three parallel and identical lines; therefore, each part only needs to go through one of the three lines. Consider the following two independent improvements: Improvement 1: Change station P4 into two connected stations (P4-1 and P4-2, connected in series) that have process times of 4 min/unit and 6 min/unit respectively. Improvement 2: Add two additional P5 stations to give you 5 parallel and identical lines. a) Which of the two improvements will provide the largest increase in capacity? What is the yearly capacity of the system with the improvement you suggested? Assume the process runs 40 hours

Practical Management Science
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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P1 P4 P2 P3 P5 P5 P5 P6 ... P1 has a production rate of 15 units/hour, P2 = 30 units/hour, P3 = 10 units per hour, P4 = 4 units/hour, P5 = 1 unit(s) per hour for each P5 and P6 = 6 units per hour. Operation P4 occurs seperately from and simultaneously with operations P1-P3. Operation P5 has three parallel and identical lines; therefore, each part only needs to go through one of the three lines. Consider the following two independent improvements: Improvement 1: Change station P4 into two connected stations (P4-1 and P4-2, connected in series) that have process times of 4 min/unit and 6 min/unit respectively. Improvement 2: Add two additional P5 stations to give you 5 parallel and identical lines. Improvement 2 increases capacity because it improves the bottleneck. The new bottleneck is station P4 since the original bottleneck has a process time of The new yearly capacity would be units per year. a) Which of the two improvements will provide the largest increase in capacity? What is the yearly capacity of the system with the improvement you suggested? Assume the process runs 40 hours per weeks and 48 weeks per year. B minutes per unit now.
Transcribed Image Text:P1 P4 P2 P3 P5 P5 P5 P6 ... P1 has a production rate of 15 units/hour, P2 = 30 units/hour, P3 = 10 units per hour, P4 = 4 units/hour, P5 = 1 unit(s) per hour for each P5 and P6 = 6 units per hour. Operation P4 occurs seperately from and simultaneously with operations P1-P3. Operation P5 has three parallel and identical lines; therefore, each part only needs to go through one of the three lines. Consider the following two independent improvements: Improvement 1: Change station P4 into two connected stations (P4-1 and P4-2, connected in series) that have process times of 4 min/unit and 6 min/unit respectively. Improvement 2: Add two additional P5 stations to give you 5 parallel and identical lines. Improvement 2 increases capacity because it improves the bottleneck. The new bottleneck is station P4 since the original bottleneck has a process time of The new yearly capacity would be units per year. a) Which of the two improvements will provide the largest increase in capacity? What is the yearly capacity of the system with the improvement you suggested? Assume the process runs 40 hours per weeks and 48 weeks per year. B minutes per unit now.
↓ structor P5 *** P1 has a production rate of 15 units/hour, P2 = 30 units/hour, P3= 10 units per hour, P4 = 4 units/hour, P5 = 1 unit(s) per hour for each P5 and P6 = 6 units per hour. Operation P4 occurs seperately from and simultaneously with operations P1-P3. Operation P5 has three parallel and identical lines; therefore, each part only needs to go through one of the three lines. Consider the following two independent improvements: Improvement 1: Change station P4 into two connected stations (P4-1 and P4-2, connected in series) that have process times of 4 min/unit and 6 min/unit respectively. Improvement 2: Add two additional P5 stations to give you 5 parallel and identical lines. a) Which of the two improvements will provide the largest increase in capacity? What is the yearly capacity of the system with the improvement you suggested? Assume the process runs 40 hours per weeks and 48 weeks per year. Improvement 2 increases capacity because it improves the bottleneck. The new bottleneck is station P4 since the original bottleneck has a process time of The new yearly capacity would be units per year. minutes per unit now. b) Which of the two improvements will provide the biggest decrease in throughput time? What is the new throughput with the improvement you suggested? Improvement 1 decreases throughput time to minutes per unit. c) Which of the two would you recommend implementing? Why? I recommend Improvement 2 because it improves our (bottleneck/throughput time) and increases our capacity. Therefore, we also increase the number of potential sales, and thus revenue. Clear all Show work Final check
Transcribed Image Text:↓ structor P5 *** P1 has a production rate of 15 units/hour, P2 = 30 units/hour, P3= 10 units per hour, P4 = 4 units/hour, P5 = 1 unit(s) per hour for each P5 and P6 = 6 units per hour. Operation P4 occurs seperately from and simultaneously with operations P1-P3. Operation P5 has three parallel and identical lines; therefore, each part only needs to go through one of the three lines. Consider the following two independent improvements: Improvement 1: Change station P4 into two connected stations (P4-1 and P4-2, connected in series) that have process times of 4 min/unit and 6 min/unit respectively. Improvement 2: Add two additional P5 stations to give you 5 parallel and identical lines. a) Which of the two improvements will provide the largest increase in capacity? What is the yearly capacity of the system with the improvement you suggested? Assume the process runs 40 hours per weeks and 48 weeks per year. Improvement 2 increases capacity because it improves the bottleneck. The new bottleneck is station P4 since the original bottleneck has a process time of The new yearly capacity would be units per year. minutes per unit now. b) Which of the two improvements will provide the biggest decrease in throughput time? What is the new throughput with the improvement you suggested? Improvement 1 decreases throughput time to minutes per unit. c) Which of the two would you recommend implementing? Why? I recommend Improvement 2 because it improves our (bottleneck/throughput time) and increases our capacity. Therefore, we also increase the number of potential sales, and thus revenue. Clear all Show work Final check
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