a) What is the cost to transport 10000 tons of material between Arceneaux and Darbonne locations? b) What is the optimal location for the mill? c) What is the minimal shipping cost that satisfies all requirements?
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- 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 60,000 140,000The ABC Company plans to locate a warehouse using the center-of-gravity model to serve four different customers. Find the coordinates for the warehouse given the following information:Maya ltd. wants to use the Centre of Gravity location technique to determine where to setup its distribution centre. What is the main objective of using this technique? What information will be needed in order to use this technique? Setup a numerical example that can be used to demonstrate to the owner of the company how the technique can be used Use the numerical example set up above to demonstrate how the centre of gravity location technique is used.
- 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. Calculate the centre of gravity as a possible location for the new facility.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…Maya ltd. wants to use the Centre of Gravity location technique to determine where to setup its distribution centre. Setup a numerical example that can be used to demonstrate to the owner of the company how the technique can be used Use the numerical example set up above to demonstrate how the centre of gravity location technique is used.
- Explain the relationship between the number of facilities and transportation cost and draw the graphA toy manufacturer produces toys in five locations throughout the country. Raw materials (primarily barrels of powdered plastic) will be shipped from a new, centralized warehouse whose location is to be determined. The monthly quantities to be shipped to each location are the same. A coordinate system has been established, and the coordinates of each location have been determined as shown. Determine the coordinates of the centralized warehouse.how to setup an example of a numerical centre of gravity location technique (for production and operations management) that can be used to demonstrate how the technique is used for a distribution centre?
- 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 center of gravity as a possible location for the new facility. Can you please show me how you arrived at the answer?Find the initial transportation cost for the transportation matrix given using North-West corner method, Least cost method and Vogel’s Approximation Method.Using the information about customer vehicle traffic to and from a proposed new sports stadium (not built yet), find the best location for the stadium that minimizes total distance travelled using the center-of-gravity method. Zip Code Location Options 2 3 4 Coordinates of Location X 2 9 12 13 y 4 5 6 12 Vehicles per Stadium Event 4,300 4,700 1,100 2,000 Use the center-of-gravity method to determine an ideal location for a service center. Round your answers to two decimal places. Cx: Cy: