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(a)
Interpretation: Frank Green, an independent RV repairman, is considering purchasing a home in Ames, Iowa, that he will use as a base of operations for his repair business. Frank’s primary sources of business are 10 industrial accounts located throughout the Ames area. He has overlaid a grid on a map of the city and determined the following locations for these clients as well as the expected number of calls per month he receives as given in the tabulation. Assuming a weighted rectilinear distance measurement, the optimal location of his house needs to be determined.
Client | Grid Location | Expected Calls per Month. |
1 | (5,8) | 2 |
2 | (10,3) | 1 |
3 | (14,14) | 1 |
4 | (2,2) | 3 |
5 | (1,17) | 1 |
6 | (18,25) | 1/2 |
7 | (14,3) | 1/4 |
8 | (25,4) | 4 |
9 | (35,1) | 3 |
10 | (16,21) | 1/6 |
Concept Introduction: When the differences between the
(b)
Interpretation: Frank Green, an independent RV repairman, is considering purchasing a home in Ames, Iowa, that he will use as a base of operations for his repair business. Frank’s primary sources of business are 10 industrial accounts located throughout the Ames area. He has overlaid a grid on a map of the city and determined the following locations for these clients as well as the expected number of calls per month he receives as given in the tabulation. Assuming a squared Euclidean distance measurement, the optimal location of his house needs to be determined.
Client | Grid Location | Expected Calls per Month. |
1 | (5,8) | 2 |
2 | (10,3) | 1 |
3 | (14,14) | 1 |
4 | (2,2) | 3 |
5 | (1,17) | 1 |
6 | (18,25) | 1/2 |
7 | (14,3) | 1/4 |
8 | (25,4) | 4 |
9 | (35,1) | 3 |
10 | (16,21) | 1/6 |
Concept Introduction: The simple measurement of distance in a straight line between two facilities is called Euclidean Distance.
(c)
Interpretation: Frank Green, an independent RV repairman, is considering purchasing a home in Ames, Iowa, that he will use as a base of operations for his repair business. Frank’s primary sources of business are 10 industrial accounts located throughout the Ames area. He has overlaid a grid on a map of the city and determined the following locations for these clients as well as the expected number of calls per month he receives as given in the tabulation. Assuming the goal is to minimize the maximum rectilinear distance to any client, the optimal location of his house needs to be determined.
Client | Grid Location | Expected Calls per Month. |
1 | (5,8) | 2 |
2 | (10,3) | 1 |
3 | (14,14) | 1 |
4 | (2,2) | 3 |
5 | (1,17) | 1 |
6 | (18,25) | 1/2 |
7 | (14,3) | 1/4 |
8 | (25,4) | 4 |
9 | (35,1) | 3 |
10 | (16,21) | 1/6 |
Concept Introduction: Rectilinear Distance: When the distance between two facilities are measured in an orthogonal path, then it is called a rectilinear distance
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Chapter 11 Solutions
EBK PRODUCTION AND OPERATIONS ANALYSIS
- For example, a manager for Wal-Mart may have sufficient secondary data onincomes, family sizes, number of competitors, and growth potential to determine in which of five Iowa towns Wal-Mart wishes to locate its next store. And if traffic counts exist for the selected town, primary data will have to be gathered to select a specific site for the store. True False Which question should be posed in determining the accuracy of secondary data? A. What information was collected? B. What was the purpose of the study? C. Both a & b. D. Neither a nor b.arrow_forwardThe new Health-Watch facility is targeted to serve seven census tracts in Erie, Pennsylvania, whose lati-tudes and longitudes are shown in Table 13.1, along with the population in each census tract (in thou-sands). Customers will travel from the seven census-tract centers to the new facility when they needhealth care. What is the target area’s center of gravity for the Health-Watch medical facility?arrow_forwardThe method for determining facility location which involves determining x and y co-ordinates of the proposed new location O a. Factor Rating Method O b. Locational Break-even Analysis O C. Transportation Method Od. Centroid Methodarrow_forward
- Rauschenberg Manufacturing is investigating which locations would best position its new plant relative to three important customers (located in cities A, B, and C). As shown in the table below, all three customers require multiple daily deliveries. Management limited the search for this plant to those three locations and compiled the following information: Location Coordinates (miles) Deliveries per day (200,100) (300,100) (300,300) A 9 B 5 7 a. Which of these three locations yields the smallest load-distance score, based on Euclidean distances? Location V yields the smallest load-distance score of : (Enter your response rounded to one decimal place.)arrow_forwardART Contractors must locate an equipment staging area to serve three construction sites, located at coordinates (0,2), (0,4), and (5,5). Traffic between the staging area and each of the three sites will be equal. What is the best set of coordinates for the equipment staging area? Please show the math.arrow_forwardA larger and more modern post office is to be constructed at a new location in Sally Spring Georgia. Growing suburbs caused a shift in the population density from where it was 30 years ago when the current facility was built. Andy Browne, the postmaster, asked his assistants to draw a grid map of the seven points where mail is picked up and delivered in bulk. The coordinates and trips per day to and from the seven mail source points and the current main post office are shown in the table below. Mail Source Point Round Trips per day X coordinate Y coordinate 1 6 2 8 2 3 6 1 3 3 8 5 4 3 13 3 5 2 15 10 6 7 6 14 Calculate the center of gravity as a possible location for the new facility. Can you please show me how you arrived at the answer?arrow_forward
- City Cab Company identified 10 primary pickup and drop locations for cab riders in New York City. In an effort to minimize travel time and improve customer service and the utilization of the company's fleet of cabs, management would like the cab drivers to take the quickest route between locations whenever possible. The travel times in minutes are shown on the arcs of the network. Note that there are two one-way streets and that the direction is shown by the arrows. 1 I 13 10 15 10 2 5 3 2 4 4 5 15 3 5 6 12 2 7 5 8 4 7 9 Using the above network of roads and streets, what is the quickest route a driver beginning at location 1 should take to reach location 10? path = 1, 10arrow_forwardA larger and more modern main post office is to be constructed at a new location in Davis, California. Growing suburbs caused a shift in the population density from where it was 40 years ago, when the current facility was built. Annette Werk, the postmaster, asked her assistants to draw a grid map of the seven points where mail is picked up and delivered in bulk. The coordinates and trips per day to and from the seven mail source points and the current main post office, M, are shown in the following table. M will continue to act as a mail source point after relocation. Mail Source Point Round trips per day x, y, Coordinates (miles) 4 (4, 6) (8, 4) (3, 14) (6, 10) (12, 11) (13, 5) (13, 6) (14, 10) 2 1 11 5 7 6 7 3 M 8 a. Calculate the center of gravity as a possible location for the new facility. (Enter your responses rounded to the nearest whole number.) The center of gravity "X" coordinate = 9 The center of gravity "Y" coordinate = 8. b. Compare the load-distance scores for the…arrow_forwardA larger and more modern main post office is to be constructed at a new location in Davis, California. Growing suburbs caused a shift in the population density from where it was 40 years ago, when the current facility was built. Annette Werk, the postmaster, asked her assistants to draw a grid map of the seven points where mail is picked up and delivered in bulk. The coordinates and trips per day to and from the seven mail source points and the current main post office, M, are shown in the following table. M will continue to act as a mail source point after relocation. Mail Source Point Round trips per day x, y, Coordinates (miles) 1 4 (4, 6) 7 (8, 4) (3, 14) (6, 10) (12, 11) (13, 5) (13, 6) (14, 10) 3 1 4 11 7 3 7 3 M 8 a. Calculate the center of gravity as a possible location for the new facility. (Enter your responses rounded to the nearest whole number.) The center of gravity "X" coordinate = The center of gravity "Y" coordinate =arrow_forward
- A larger and more modern post office is to be constructed at a new location in Sally Spring Georgia. Growing suburbs caused a shift in the population density from where it was 30 years ago when the current facility was built. Andy Browne, the postmaster asked his assistants to draw a grid map of the seven points where mail is picked up and delivered in bulk. The coordinates and trips per day to and from the seven mail source points and the current main post office are shown in the table below. Mail Source Point Round Trips per day X coordinate Y coordinate 1 6 2 8 2 3 6 1 3 3 8 5 4 3 13 3 5 2 15 10 6 7 6 14 Calculate the centre of gravity as a possible location for the new facility. 2. A clothing chain is considering two different locations for a new retail outlet. The organization has identified the four factors listed in the following table as the basis for evaluation, and it has…arrow_forwardA&B Transport Co. is a company that manages a food supply chain. The problem involves the delivery of cargo (canned peas) from four canneries (loading ports) to three destination ports, using tankers. Since the shipping costs are a major expense for the company, management is initiating a study to reduce them as much as possible. For the upcoming season, has come up with an estimation of the available output from each cannery. Furthermore, each destination port has also specific requirements for the total supply of peas that have to be satisfied. This information (in units of tanker loads), along with the shipping cost per tanker load for each loading - destination port combination, is given in Tables 1 and 2. The problem for the A&B Transport Co. is to determine the shipping strategy given the various loading - destination port combinations, so that the total shipping costs are minimised. Question 1 . A&B Transport Co is thinking of including in its strategy the shipment…arrow_forwardA larger and more modern main post office is to be constructed at a new location in Davis, California. Growing suburbs caused a shift in the population density from where it was 40 years ago, when the current facility was built. Annette Werk, the postmaster, asked her assistants to draw a grid map of the seven points where mail is picked up and delivered in bulk. The coordinates and trips per day to and from the seven mail source points and the current main post office, M, are shown in the following table. M will continue to act as a mail source point after relocation. Mail Source Point Round trips per day x, y, Coordinates (miles) 1 8 2 2 1 6 3 4 6 7 M 2 4 8 The center of gravity "X" coordinate = 10 The center of gravity "Y" coordinate = 6 (11,5) (15,5) (1, 13) (2, 1) (4, 14) (16, 12) (15,5) (14,2) a. Calculate the center of gravity as a possible location for the new facility. (Enter your responses rounded to the nearest whole number.) b. Compare the load-distance scores for the…arrow_forward
- Practical Management ScienceOperations ManagementISBN:9781337406659Author:WINSTON, Wayne L.Publisher:Cengage,
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