S7.20. An army division in Iraq has five troop encampments in thedesert, and the division leaders want to determine the best locationfor a supply depot to serve the camps. The (x, y) coordinates (in miles)of the camps, A, B, C, D, and E, and the daily amount of supplies (intons) required at each camp are as follows:S.CCoordinatesCampyDaily tonnage (1000s)11012085703001105203507530045060E400600100m uoya. Determine the best site for the supply depot using the cen-ter-of-gravity technique.b. Suppose the division commanders are limited to three possi-ble sites for the supply depot because of airfield locations andenemy troop concentrations. The coordinates (in miles) of thesethree potential sites are site 1 (400, 250), site 2 (100, 200), and site3 (200, 500). Using the load-distance technique, determine thebest site for the supply depot.antsA,B.

Answered: S7.20. An army division in Iraq has…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

Section: Chapter Questions

Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...

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Here is the initial tableau (by the NorthWest method) of a Min transportation problem. 1 2 3 Demand 19 Dual(v) 1 15 9 S1: 11 10 14 0 S2: 0 S3: B 0 B 3 N 15 Demanders 2 8 0 9 12 188 15 9 21 5 N 0 B 0 B 13 10 8 8 20 3 0 20 -4 N -6 N 0 B 17 7 5 4 0 0 1 -14 N -8 N 0 B Supply Dual(u) 0 (188 188 188 188 Using the Loop method fill in the values of the next tableau Each 2x2 matrix is the relevant square in the tableau. 9 (For grading convenience, in bottom right corner of each box use 1 for "B" and 0 for "N") 22 188 188 188 30 -4 2
Supply Solve the following Transportation problem using best cell method What is the total cost? 1 2 3 4 A 25 3 10 5 9 Destination B 35 2 1 2 6 C 10 1 2 8 3 D 30 1 2 8 3 25 20 25 30
7
a company's business model was to operate through its facilities- Vancouver, Calgary, Winnipeg, Toronto(ontario), ottawa, Montreal and Halifax. Supply comes from South America, southeast Asia, and Florida. the company was shipping first to Toronto and then to each facility at a total cost of $23095.5 per week. The company is considering the possibility of opening a logistics facility in Miami. Toronto and Vancouver were already available as transshipment centres. What would be the cost savings if Miami centre was opened and what would be the optimal shipment plan?
J 2 An electronics store wants to identify a location for a warehouse that will ship to five retail stores. The coordinates and annual number of truckloads are given in the accompanying table. Develop a model to find the best location, assuming that straight-line distances can be used between the locations. Experiment with the model by testing each of the possible best solutions, included, to find the best location. Click here to view the data for the store locations and annual numbers of truckloads. Click here to view some possible best solutions. The best location is at____. (Type an ordered pair. Round each coordinate to the nearest integer as needed.)
7. "Pide Keyfi" is a new deli store and they consider opening a new branch in Ulus. They have located their customer on a map as follows. 10 9 2 1 0 Customer Cust1 Cust2 Cust3 X 2 3 5 Cust1 Cust2 Cust3 Cust4 Cust5 Cust6 6 Customer x N35 2 1 3 6 у 7 5 8 Y a.Please recommend them a location to place their delivery store based on the center of gravity method. 7 b. They have come up with approximate values for the weekly demand of the same customers. They think they should prioritize based on the weekly demand level while they are choosing their new location. Using the below table calculate if they need to change the previous location you found in part a. in ∞o in 5 8 5 1 3 نا Cust4 Cust5 Cust6 Weekly demand 150 100 90 1 3 6 175 200 275 5 1 3
#4. The Pelican Company has four distribution centers (A, B, C, and D) that require 50,000, 40,000, 60,000 and 40,000 liters of diesel fuel, respectively, per month for their long-haul trucks. Three fuel wholesalers (1, 2 and 3) have indicated their willingness to supply as many as 60,000, 80,000, and 50,000 liters of fuel, respectively. The total cost (shipping and price) of delivering 1000 liters of fuel from each wholesaler to each distribution center is shown in the following table. Distribution center Wholesaler A B C D • 1 1700 1600 1600 1600 2 1500 1800 1600 1700 3 1800 1500 1800 1600 I. Determine the optimal solution. Check if all capacities have been exhausted and that all demands can be met with this solution. II. What is the total cost of the solution?
The Winston Company has four distribution centers (A, B, C, and D) that require 40,000, 60,000, 30,000, and 50,000 gallons of de-ionized water, respectively, per month for cleaning their long-haul trucks. Three de-ionized water wholesalers (1, 2, and 3) indicated their willingness to supply as many as 50,000, 70,000, and 60,000 gallons, respectively. The total cost (shipping plus price) of delivering 1,000 gallons of de-ionized water from each wholesaler to each distribution center is shown in the following table: Distribution Center Wholesaler A B 1 $1.70 $1.90 $1.60 $1.70 2 $1.40 $1.90 $1.60 $1.70 3 $1.60 $1.50 $1.80 $1.40 a. Which of the following statements regarding setting up the tableau for the optimal solution for this problem is true? O A. The sum of supply capacities is greater than the sum of demands, so a dummy distribution center needed, O B. The sum of supply capacities is less than the sum of demands, so a dummy wholesaler is needed. C. The sum of supply capacities…
The Winston Company has four distribution centers (A, B, C, and D) that require 40,000, 60,000, 30,000, and 50,000 gallons of de-ionized water, respectively, per month for cleaning their long-haul trucks. Three de-ionized water wholesalers (1, 2, and 3) indicated their willingness to supply as many as 50,000, 70,000, and 60,000 gallons, respectively. The total cost (shipping plus price) of delivering 1,000 gallons of de-ionized water from each wholesaler to each distribution center is shown in the following table: Distribution Center Wholesaler A B D $1.90 $1.90 $1.70 $1.60 $1.70 2 $1.40 $1.60 $1.70 3 $1.60 $1.50 $1.80 $1.40 a. Which of the following statements regarding setting up the tableau for the optimal solution for this problem is true? O A. The sum of supply capacities is greater than the sum of demands, so a dummy distribution center is needed. O B. The sum of supply capacities is less than the sum of demands, so a dummy wholesaler is needed. O C. The sum of supply capacities…
A company has three existing warehouses to which it will ship furniture from a new factory whose location must be decided. The factory will receive raw materials from its wood supplier and fabric supplier. The annual number of shipments, shipment costs and the location of the suppliers and warehouses are shown below Existing facilities Annual L to or from fact cost Coordinate location Wood supplier 120 10 (100, 400) Fabric supplier 200 10 (800,700) Ware h 1 61 10 (300, 600) Ware h 2 40 10 (200, 100) Ware h 3 70 10 (600, 200) Using the median load answer the following questions –Where the factory should be located to minimize annual transportation cost –What will be the minimum annual transportation cost
A logistics manager wants to assess how varied the weight of lorry loads is over a period of time. He takes a 5 samples of 20 lorry loads (n) and notes the average load (tonnes) and the range within each sample. Sample Weight average in tonnes (x) Range (R) 1 15.5 4.5 2 12.3 5.3 3 8.8 6.2 4 10.3 5.2 5 13.1 3.8 What are the population means for the mean and the range? What are the upper and lower control limits for the sample means chart? What are the upper and lower controls for the range chart?
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