Location Location Location a: (5,6) b: (1,5) c: (3,8) d: (7,4) Location Location e: (5,9) Weekly shipments to each warehouse will be WH1, 100; WH2, 150; WH3, 120; WH4, 150; and WH5, 120. What is the optimal y coordinate of the distribution center
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- The 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 Method1. Using the center-of-gravity method, compute the centralized coordinates among the following locations, which are indicated via black cells with white text in LOCATION.xlsx: 7,1 10,1 4,2 2,5 6,6 9,6 2,8 6,10 2. Using the weighted average center-of-gravity, which accounts for quantities to be shipped from locations, compute the centralized coordinates among the following locations: 7,1 10,1 4,2 2,5 6,6 9,6 2,8 6,10 *Quantities to be shipped are listed within the existing locations (i.e. Location 7,1 ships 17 units) in LOCATION.xlsx1. Cars are shipped from three distribution centre's to five dealers. The following table summarizes the mileage between the distribution center's and the dealers together with the monthly supply. Dealer 1 3 4 Supply 1 38 Center 2 3 4 19 3 4 4 16 4 4 9. 4 6. 23 Demand 25 29 21 | 21 a) Find the Initial basic feasible solution using any of the three methods. b) Check the Optimum solution using UV method.
- b. A food manufacturer wants to locate a warehouse to serve its major customers.The customers, annual volume and the X and Y coordinates are shown in thetable below. Customer Annual Volume X-Coordinate Y-Coordinate Judy inc. 25 3 7Zac Supermarket 13 5 2Harry Inc. 6 8 4Sky Productions 4 1 5 i. Using the centre of gravity location technique, determine the locationcoordinates that will minimize the transportation costs for their family ofproductsa. 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 60,000 140,000Dennison Manufacturing makes large helical springs used inaircraft landing gear. The company has narrowed its potentialchoices for its new manufacturing facility to four cities. Thefollowing information is known about the manufacturing andshipping costs of locating in each of these four cities: a. Use break-even point analysis to determine where Den-nison should locate.b. Based solely on break-even quantity, if Dennison’s manu-facturing forecast for the foreseeable future is 40,000 unitsannually, where should he locate?
- b. A food manufacturer wants to locate a warehouse to serve its major customers. The customers, annual volume and the X and Y coordinates are shown in the table below. Customer Annual Volume X-Coordinate Y-Coordinate Judy inc 25 3 7 Zac Supermarket 13 5 2 Harry Inc. 6 8 4 Sky Productions 4 1 5 i. Using the centre of gravity location technique, determine the location coordinates that will minimize the transportation costs for their family of productsThe university administration would like to add some additional parking locations. To make everyone happy, they would like each building to be within a 5 minute walk of one set of new parking spaces (the spaces will be added in blocks of 10 parking spaces). The university is considering six locations for the new parking spaces, but would like to minimize the overall cost of the project. In addition to the walking time requirement, the university would like to add at least 40 new parking spaces (at least 4 blocks of 10). To help with the decision, the management science department formulated the following linear programming model: Min 350x1 + 425x2 + 425x3+ 465x4 + 485x5 + 365x6 s.t. x1 + x2 + x5 + X6 2 1 (Residence Hall A constraint) x1 + x2 + X3 2 1 {Residence Hall B constraint) X4 + X5 + X6 2 1(Science building constraint) X1 + X4 + X5 2 1{Music building constraint} x2 + x3 + X4 2 1{Math building constraint} x3 + X4 + X5 2 1{Business building constraint} x2 + x5 + X6 2 1{Auditorium…Frank 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.
- b. An operations manager has narrowed down the search for a new King Kola plant to three locations. Fixed and variable costs follow. Location Fixed Cost Variable Cost A $100,000 $10 B $150,000 $7 C $200,000 $5 600 Annual 500 Cost ($000) 400 300 200 100 6 8 10 14 16 18 20 0 (000s of units) i. Plot the total cost curves in the chart provided above and identify the range over which each location would be best. ii. Use break-even analysis to calculate exactly the break-even quantity that defines each range.Location Fixed Cost Variable Cost A $100,000 $10 B $150,000 $7 C $200,000 $5 600 Annual 500 Cost ($000) 400 300 200 100 2 4 6 8 10 14 16 18 20 Q (000s of units) i. Plot the total cost curves in the chart provided above and identify the range over which each location would be best. ii. Use break-even analysis to calculate exactly the break-even quantity that defines each range.b. A food manufacturer wants to locate a warehouse to serve its major customers. The customers, annual volume and the X and Y coordinates are shown in the table below. Customer Annual Volume X-Coordinate Y- Coordinate Judy inc 25 3 7 Zac Supermarket 13 5 2 Harry Inc 6 8 4 Sky Production 4 1 5 i. Using the centre of gravity location technique, determine the location coordinates that will minimize the transportation costs for their family of products.