The Boeing Company faces a critical strategic choice in its competition with Airbus Industries for the long-haul flight segment: Should it design and build a super-747 model that can carry 550 passengers at speeds around 350 mph, or a plane that can fly at 95 percent of the speed of sound but carry only about 350 passengers? As a member of Boeing's Planning Group, your task is to build a model to investigate the trade-offs involved in this decision
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- In Australia, wheat grain exports are often affected by little insects, it has been estimated that between one quarter and one third of the world grain crop is lost each year during storage and transportation. Even with the strictest safety precautions and protocols, these insects are not completely eliminated. At the start of the voyage, 40 ants remained among the wheat grains in the cargo hold of the ship. One week into the voyage, there were approximately 310 ants. The model used to estimate the number of ants, N, is N(t) = 400/1+9e(to the power of kt) b) rearrange the model , without substitution of values , to K=In Australia, wheat grain exports are often affected by little insects, it has been estimated that between one quarter and one third of the world grain crop is lost each year during storage and transportation. Even with the strictest safety precautions and protocols, these insects are not completely eliminated. At the start of the voyage, 40 ants remained among the wheat grains in the cargo hold of the ship. One week into the voyage, there were approximately 310 ants. The model used to estimate the number of ants, N, is N(t) = 400/1+9e(to the power of kt) a) a) although the question says there are 40 ants on the ship at the start of the trip, the exporters wanted independent algebraic proof using the proposed model of N(t)=400/1+9e(to the power of kt) show how the captain used the model to prove there were 40 ants initially N(0) 400/10 = 40 ants b) rearrange the model , without substitution of values , to K= K= In(1/9(400/n(t) -1 )) / 1 c) Now , find the value of k correct to 2…Your best friend is adamant about competing in a mini-triathlon that consists of first a 2km endurance run, then a 2km hilly cycling, and lastly a 2km freestyle swim. She wants YOU, the mathematics expert, to design a guideline for her training. You determined that, to have a shot at winning, she must maintain an average speed of 5 km/h throughout the entire triathlon. She must run at 15 km/h and cycle at 30 km/h. What should be her swimming speed if she is to have a shot at winning?
- Brawdy Plastics, Inc., produces plastic seat belt retainers for General Motors at the Brawdy Plastics plant in Buffalo, New York. After final assembly and painting, the parts are placed on a conveyor belt that moves the parts past a final inspection station. How fast the parts move past the final inspection station depends upon the line speed of the conveyor belt (feet per minute). Although faster line speeds are desirable, management is concerned that increasing the line speed too much may not provide enough time for inspectors to identify which parts are actually defective. To test this theory, Brawdy Plastics conducted an experiment in which the same batch of parts, with a known number of defective parts, was inspected using a variety of line speeds. The following data were collected. Line Number of Defective Parts Found Speed 20 24 20 20 30 19 30 16 40 14 40 18 50 14 50 11 (a) Develop a scatter diagram with the line speed as the independent variable. 25 20 20 20 15 15 15 ● 15 10 10…Brawdy Plastics, Inc., produces plastic seat belt retainers for General Motors at the Brawdy Plastics plant in Buffalo, New York. After final assembly and painting, the parts are placed on a conveyor belt that moves the parts past a final inspection station. How fast the parts move past the final inspection station depends upon the line speed of the conveyor belt (feet per minute). Although faster line speeds are desirable, management is concerned that increasing the line speed too much may not provide enough time for inspectors to identify which parts are actually defective. To test this theory, Brawdy Plastics conducted an experiment in which the same batch of parts, with a known number of defective parts, was inspected using a variety of line speeds. The following data were collected. LineSpeed Number ofDefectiveParts Found 20 24 20 21 30 18 30 16 40 14 40 17 50 15 50 11 (b) What does the scatter diagram developed in part (a) indicate about the relationship…Brawdy Plastics, Inc., produces plastic seat belt retainers for General Motors at the Brawdy Plastics plant in Buffalo, New York. After final assembly and painting, the parts are placed on a conveyor belt that moves the parts past a final inspection station. How fast the parts move past the final inspection station depends upon the line speed of the conveyor belt (feet per minute). Although faster line speeds are desirable, management is concerned that increasing the line speed too much may not provide enough time for inspectors to identify which parts are actually defective. To test this theory, Brawdy Plastics conducted an experiment in which the same batch of parts, with a known number of defective parts, was inspected using a variety of line speeds. The following data were collected. Number of Line Defective Parts Found Speed 20 23 20 21 30 20 30 15 40 14 40 18 50 14 50 11 (a) Develop a scatter diagram with the line speed as the independent variable. 25 25 25 25 20 20- 20 20 15 15…
- Brawdy Plastics, Inc., produces plastic seat belt retainers for General Motors at the Brawdy Plastics plant in Buffalo, New York. After final assembly and painting, the parts are placed on a conveyor belt that moves the parts past a final inspection station. How fast the parts move past the final inspection station depends upon the line speed of the conveyor belt (feet per minute). Although faster line speeds are desirable, management is concerned that increasing the line speed too much may not provide enough time for inspectors to identify which parts are actually defective. To test this theory, Brawdy Plastics conducted an experiment in which the same batch of parts, with a known number of defective parts, was inspected using a variety of line speeds. The following data were collected. LineSpeed Number ofDefectiveParts Found 20 23 20 21 30 18 30 17 40 14 40 18 50 13 50 12 Use the least squares method to develop the estimated regression equation. ŷ =…Brawdy Plastics, Inc., produces plastic seat belt retainers for General Motors at the Brawdy Plastics plant in Buffalo, New York. After final assembly and painting, the parts are placed on a conveyor belt that moves the parts past a final inspection station. How fast the parts move past the final inspection station depends upon the line speed of the conveyor belt (feet per minute). Although faster line speeds are desirable, management is concerned that increasing the line speed too much may not provide enough time for inspectors to identify which parts are actually defective. To test this theory, Brawdy Plasticsm conducted an experiment in which the same batch of parts, with a known number of defective parts, was inspected using a variety of line speeds. The following data were collected. a. Develop a scatter diagram with the line speed as the independent variable. b. What does the scatter diagram developed in part (a) indicate about the relationship between the two variables? c. Use…Brawdy Plastics, Inc., produces plastic seat belt retainers for General Motors at the Brawdy Plastics plant in Buffalo, New York. After final assembly and painting, the parts are placed on a conveyor belt that moves the parts past a final inspection station. How fast the parts move past the final inspection station depends upon the line speed of the conveyor belt (feet per minute). Although faster line speeds are desirable, management is concerned that increasing the line speed too much may not provide enough time for inspectors to identify which parts are actually defective. To test this theory, Brawdy Plastics conducted an experiment in which the same batch of parts, with a known number of defective parts, was inspected using a variety of line speeds. The following data were collected. Number of Line Defective Speed Parts Found 20 24 20 22 30 18 30 15 40 14 40 16 50 15 50 12 (a) Develop a scatter diagram with the line speed as the independent variable. 25 25 T 25 : 20 20 15 15 10 10…
- Brawdy Plastics, Inc., produces plastic seat belt retainers for General Motors at the Brawdy Plastics plant in Buffalo, New York. After final assembly and painting, the parts are placed on a conveyor belt that moves the parts past a final inspection station. How fast the parts move past the final inspection station depends upon the line speed of the conveyor belt (feet per minute). Although faster line speeds are desirable, management is concerned that increasing the line speed too much may not provide enough time for inspectors to identify which parts are actually defective. To test this theory, Brawdy Plastics conducted an experiment in which the same batch of parts, with a known number of defective parts, was inspected using a variety of line speeds. The following data were collected. LineSpeed Number ofDefectiveParts Found 20 23 20 21 30 19 30 15 40 16 40 18 50 14 50 10 (a) Develop a scatter diagram with the line speed as the independent variable. A…Brawdy Plastics, Inc., produces plastic seat belt retainers for General Motors at the Brawdy Plastics plant in Buffalo, New York. After final assembly and painting, the parts are placed on a conveyor belt that moves the parts past a final inspection station. How fast the parts move past the final inspection station depends upon the line speed of the conveyor belt (feet per minute). Although faster line speeds are desirable, management is concerned that increasing the line speed too much may not provide enough time for inspectors to identify which parts are actually defective. To test this theory, Brawdy Plastics conducted an experiment in which the same batch of parts, with a known number of defective parts, was inspected using a variety of line speeds. The following data were collected. LineSpeed Number ofDefectiveParts Found 20 24 20 20 30 20 30 16 40 14 40 16 50 14 50 12 (a) Develop a scatter diagram with the line speed as the independent variable.…Brawdy Plastics, Inc., produces plastic seat belt retainers for General Motors at the Brawdy Plastics plant in Buffalo, New York. After final assembly and painting, the parts are placed on a comveyor belt that moves the parts past a final inspection station. How fast the parts move past the final inspection station depends upon the line speed of the conveyor belt (feet per minute). Although faster line speeds are desirable, management is concerned that increasing the line speed too much may not provide enough time for inspectors to identify which parts are actually defective. To test this theory, Brawdy Plastics conducted an experiment in which the same batch of parts, with a known number of defective parts, was inspected using a variety of line speeds. The following data were collected. Number of Line Speed Defective Parts Found 20 22 20 21 30 19 30 17 40 16 40 17 50 14 50 10 (a) Develop a scatter diagram with the line speed as the independent variable. * 25 25 25 25 20- 20 20 20 2…