Eve started a pizza business three years ago using the kitchen in her house. Customers call to order their pizza and Eve will deliver. Her business has grown so much that she hired four employees. Given the rate of growth, Eve decided to move her operations out of her kitchen and build a separate kitchen for her pizza business. She would like to choose a location that minimizes the total (or average) travel distance to deliver pizza to customers. From historical records, Eve has decided that her customers are unevenly distributed throughout her service area. To make her problem more manageable, she grouped the customers in the same general area into six regions.
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Use the photo attached to answer the following question,
1.Using the centre of gravity location technique, determine the best location that will minimize total travel distance.
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- A small rural county has experienced unprecedented growth over the past 6 years, and as a result, the local school dis-trict built the new 500-student North Park Elementary School. The district has three older and smaller elementary schools:Washington, Jefferson, and Lincoln. Now the growth pressure isbeing felt at the secondary level. The school district would like tobuild a centrally located middle school to accommodate studentsand reduce busing costs. The older middle school is adjacent tothe high school and will become part of the high school campus.a) What are the coordinates of the central location?b) What other factors should be considered before building aschool?Eve started a pizza business three years ago using the kitchen in her house. Customers call to order their pizza and Eve will deliver. Her business has grown so much that she hired four employees. Given the rate of growth, Eve decided to move her operations out of her kitchen and build a separate kitchen for her pizza business. She would like to choose a location that minimizes the total (or average) travel distance to deliver pizza to customers. From historical records, Eve has decided that her customers are unevenly distributed throughout her service area. To make her problem more manageable, she grouped the customers in the same general area into six regions. Using this information and other relevant information obtained from Eve, demonstrate how the centre of gravity location technique can be used to determine the best location that will minimize total travel distance.Eve started a pizza business three years ago using the kitchen in her house. Customers call to order their pizza and Eve will deliver. Her business has grown so much that she hired four employees. Given the rate of growth, Eve decided to move her operations out of her kitchen and build a separate kitchen for her pizza business. She would like to choose a location that minimizes the total (or average) travel distance to deliver pizza to customers. From historical records, Eve has decided that her customers are unevenly distributed throughout her service area. To make her problem more manageable, she grouped the customers in the same general area into six regions. Using this information and other relevant information obtained from Eve, demonstrate how the centre of gravity location technique can be used to determine the best location that will minimize total travel distance b. Using a numerical example, demonstrate how break-even analysis (graphical approach) can be used to determine the…
- Eve started a pizza business three years ago using the kitchen in her house. Customers call to order their pizza and Eve will deliver. Her business has grown so much that she hired four employees. Given the rate of growth, Eve decided to move her operations out of her kitchen and build a separate kitchen for her pizza business. She would like to choose a location that minimizes the total (or average) travel distance to deliver pizza to customers. From historical records, Eve has decided that her customers are unevenly distributed throughout her service area. To make her problem more manageable, she grouped the customers in the same general area into six regions. b. Using a numerical example, demonstrate how break-even analysis (graphical approach) canbe used to determine the best of three locations.The 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?On Thursdays, Traxis Consolidated delivers liquid oxygento its industrial customers in northern Michigan. The tablebelow provides the driving time in minutes among allcustomers and the Traxis liquid oxygen depot location. a. Currently, Traxis travels from the depot (A) to (F) to (G) to(D) to (E) to (H) to (B) to (C), then returns to (A). What isthe total driving time using this route?b. Using the depot (A) as the beginning location, create aroute using the NN heuristic. What is the total driving timeusing this route?c. Use the NN heuristic to calculate seven routes, each start-ing from one of Traxis’s customer’s locations. What areyour conclusions?
- The Times-Picayune is searching for an ideal spotting station for the morning paper. The table below shows potential neighborhoods, their location on an XY grid of the city, and typical morning volume. What is the location that will minimize the transportation costs for the newspaper? Customer Annual Volume X-Coordinate Y-Coordinate Florida 255 6 4 Desire 150 7 6 Lafitte 235 2 4 Iberville 450 2 6 Guste 175 2 6 CJ Peete 255 1 4 Group of answer choices Near (3.0, 5.0) Near (2.8, 4.8) Near (2.5, 5.4) Near (2.8, 5.2)Mitch just built 4 franchise locations for his newest pizzerias and wants to decide where to put his headquarters. He makes 1 weekly visit to his Northside store (X = 3, Y = 10), 2 visits to his Eastside store (X = 4, Y = 6), 3 visits to his Southside store (X = 2, Y = 5) & 4 visits to his Westside store (X = 1, Y = 4). __________ 1. Using the store visits as weights, compute the coordinates of the center of gravity to help him with his location decision.A bank has its head office in the financial district in the middle ofa city. A bank has six branches, three in the north of the city and threein the south all 5 km from the centre and spaced 3 km apart. The bankwishes to link all its branches via private leased lines but mustdecide between providing an individual line to each branch via anumber of inter-branch links and a smaller number of multiplexed linesto the centre. If a modem costs £100, a multiplexer/demultiplexercosts £200 and leased lines cost £100 per km per year to rent, suggesta design that will yield the most cost effective solution if theinstallation is to remain in operation for four years. 1st option is - link all branches by providing individual line to each branch via a number of inter branch links to the centre. 2nd option is - link all branches by providing smaller number of multiplexed lines to the centre Please calculate both options and choose the most cost effective solution for four years?
- A telecommunications system is going to be installed at a company site. Theswitching center that governs the system must be located in one of the five buildingsto be served. The goal is to minimize the amount of underground cabling required.In which building should the switching center be located? Assume a straight-linedistance measure.Building Location1 (10, 10)2 (0, 4)3 (6, 15)4 (8, 20)5 (15, 0)Oscar’s Bowling, Inc., wants to break into the Phoenix metropolitan market with one of its super-sized 200 lane, 24-hour bowling alleys. It, however, only has enough capital to build one facility. Oscar wants it to be centered by population, as determined by the center of gravity method. The following information is given: City Population x coordinate y coordinate Tempe Scottsdale Chandler Mesa Glendale 250,000 400,000 300,000 700,000 350,000 5 5 5 10 1 5 10 0 1 10 a. Where should Oscar build? b. If Oscar wanted to relocate to the closest city near his new facility, where would he live?A farmers' cooperative association plans to build a new sugar mill in Georgetown. Theprimary objective of the mill is to provide the farmers with a place to take their crop forprocessing that will reduce their transportation costs. The members of the co-op believe thatthe center-of-gravity method is appropriate for this objective. While there are over 200 sugarcane 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).VillageMiles East ofBrowns TownMiles North ofBrowns TownSugar CanetonnageBarney Valley 90 10 240,000Blue Pasture 140 60 320,000Congo Valley 20 70 450,000Bower 50 20 120,000Rabacca 100 80 60,000Salem 10 120 140,000