A company needs to locate three departments (X, Y, and Z) in the three areas (I, II, and III) of a new facility. They want to minimize Interdepartmental transportation costs, which are expected to be $.50 per load per meter moved. An analyst has prepared the following distances and flow matrices: Distances (meters) Prom/To I I II III II III 10 20 10
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- A county wants to build one centrally-located processing facility to serve the county's four recycling drop-off locations. The four drop-offs have characteristics as given in the table below. What is the approximate center of gravity of these four locations? (Round answer to two decimal places.) Location Drop-off point A Drop-off point B Drop-off point C Drop-off point D O A. (22.46, 25.17) O B. (8.00, 10.00) O C. (1,370.00, 730.00) O D. (11.25, 11.25) O E. (13.70, 7.30) X-coordinate 5 8 41 7 Y-coordinate 7 275 10 Tonnage 20 30 20 30Use the center-of-gravity method to determine at which factory the central office should be placed to minimize the average distance between the office and employees. Location (X,Y) Quantity employees A (5,5) 2500 B (0,5) 1000 C (0,0) 10000 D (5,0) 4500 E (2,1) 7500For 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.
- a. A farmers' cooperative association plans to build a new sugar mill in Georgetown. The primary objective of the mill is to provide the farmers with a place to take their crop for processing that will reduce their transportation costs. The members of the co-op believe that the center-of-gravity method is appropriate for this objective. While there are over 200 sugar cane farms in the region, they are tightly clustered around six villages. Using the data below, use the center-of-gravity method to calculate the coordinates of the best location for this mill. All mileage references use Browns Town as (0,0). Village Barney Valley Blue Pasture Congo Valley Bower Rabacca Salem Miles East of Miles North of Sugar Cane Browns Town Browns Town 90 140 20 50 100 10 10 60 70 20 80 120 tonnage 240,000 320,000 450,000 120,000 60,000 140,000A city would like to know how many vehicles it could move through its streets in an emergency. The most likely situation is an evacuation starting at the school and ending at the park. The connections between these two locations, plus their capacity and direction, is shown below. Oak Street 1* Street School Park Elm Street 2nd Street E. Path A B E F G Сараcity 10 15 25 25 10 30 15 (Round your answer to the nearest whole number.) Maximum FlowHow to get an equation, graph it, and solve it?
- ABC Bank is thinking of opening a new branch in a certain city besides its existing branches due tocustomers’ complaints of long waiting lines and distant of existing branches from them. As an expertin field of banking operations, you were asked to put the criteria of choosing the new location a- What and why would be the type of the quantity used in the break even analysis and what would be the suitable methods to use to achieve faster break even b- If you were asked to choose a mechanism for forecasting the number of transactions per day, what would be the methodology that you will use to decide such forecasting method and what do you think this method may be?please do it in excel BETTER PRODUCTS COMPANY has decided to start manufacturing four new products in three plants that currently have excess production capacity. The products require comparable production effort per unit, so the available production capacity in the plants is measured by the number of units of any product that can be manufactured per day. a)Formulate this problem as a transportation problem by constructing the appropriate parameter table. Note:One image is of the data and the other image is option 1 to solve the exercise.A company that handles hazardous waste wants to minimize the shipping cost for shipments to a disposal center from five receiving stations it operates. Given the locations of the receiving stations and the volumes to be shipped daily, determine the location of the disposal center.
- A company that handles hazardous waste wants to minimize the shipping cost for shipments to a disposal center from five receiving stations it operates. The locations of the receiving stations and the volumes to be shipped daily are given in the below table: Location ( x, y ) Daily Volume ( in truck loads ) A (5.70,5.00) 15 B (4.00,7.70 ) 9 C (1.90,2.80 ) 18 D (2.10,5.20 ) 16 E (7.50, 6.30) 17 1. Which one of the following coordinate is closest to the optimal location using median method? a) (4.00,5.20) b) (4.00,3.64) c) (2.60,5.20) d) (5.80,3.12) 2. Which one of the following coordinate is closest to the optimal location using gravity method? a) (4.22,4.62) b) (5.91,6.16) c) (4.22,5.13) d) (5.28,5.13) 3. Which one of the following is closest to the total distance traveled (optimal objective function value) using Rectilinear distance measure for the optimal median solution? a) 241 b)352 c)157 d)133A manufacturing firm has four plants and wants to find the most efficient means of meeting the requirements of its four customers. The relevant information for the plants and customers, along with shipping costs in dollars per unit, are shown in the table below: Factory (capacity) A (100) B (75) C (100) D (250) Customer 1 (125) $15 $20 $22 $21 Customer (requirement) Customer 2 Customer 3 How many arcs will the network have? (150) $10 $12 $20 $15 (175) $20 $19 $25 $28 Customer 4 (75) $17 $20 $14 $12Frank Green, an independent TV 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: (given) Find the optimal location of his house, assuminga. A weighted rectilinear distance measure.b. A squared Euclidean distance measure.c. The goal is to minimize the maximum rectilinear distance to any client.