s Determine the placement of departments for a newly designed facility that will minimize total transportation costs using the data in the following tables. Assume that reverse distances are the same. The locations are shown in the grid. Use a cost of $1 per trip yard. From A B C D To Location A 1 2 40 Location B DISTANCE BETWEEN LOCATIONS (yards) Location D 80 40 3 4 70 50 60 - Location C From 1 2 3 4 To 1 - NUMBER OF TRIPS PER DAY BETWEEN DEPARTMENTS 2 3 10 20 40 4 80 90 55
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- (1) Find an optimal assignment of trucks to routes to minimize the total cost (using the Hungarian Method). B C 6 12 15 10 11 7 16 9 Truck / Route 1 2 3 4 Step la: Row subtraction (show your steps, e.g., see cell 1A) Truck / Route B 1 2 3 4 A 10 11 9 14 Step 1b: Column subtraction. Truck / Route 1 2 3 4 A 10-6=4 = = = = = B = с = C Step 2: Testing for optimal solution (show your lines covering the zero entries). What is the minimum number of lines required to cover all zeros? D 8 14 10 13 D = = D =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 MethodSue and Joe are a young married couple who are consideringpurchasing a new home. Th eir search has been reduced to threehomes that they both like, at diff erent locations. Th ey haveidentifi ed the factors they consider important and assigneda factor score to each location based on a 5-point scale. Th einformation is shown in the table. (a) Construct a spreadsheet model to help Sue and Joe maketheir decision. What is your recommendation?(b) Construct a stacked column chart to illustrate thealternatives.
- Explain what is analytic Delphi method and what are the steps are involved in this method in facility location?1. 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.xlsx8. Consider the warehouse location decision facing CupAMoe's (Example 8.60). a. (**) Suppose Robbie has learned that Capital City's population is expected to grow by just 5% over the next five years, while Springfield's population is expected to increase by 50,000 over the same time period. Recalculate the X and Y coordinates using this new information. b. (**) Now suppose Robbie has also learned that Capital City generates $800,000 in sales per year, while Springfield and Shelbyville both generate only $150,000 in sales each. Using sales dollars as the weights, recalculate the X and Y coordinates. c. (**) Which do you think is a better weighting factor to consider: population or sales dollars? Explain.
- 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.9-39. Grey Construction would like to determine the leastexpensive way of connecting houses it is buildingwith cable TV. It has identified 11 possible branchesor routes that could be used to connect the houses.The cost in hundreds of dollars and the branches aresummarized in the following table.(a) What is the least expensive way to run cable tothe houses?Describe what is analytic Delphi method and what are the steps are involved in this method in facility location?
- 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 60,000 140,000Create the following for and Land and Sea Tour busines in Jamaica 1. Goals and Objectives This section provides company’s general goals and specific objectives. What the company will accomplish. How it will be accomplished. When it will be accomplished. Who will accomplish it. 2. Location Demographic analysis of location vs. target customer profile Traffic count Lease/rental rates/owned1. 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.