Q.#5 Mr. Hala lives Makkah city. He has to schedule four different meetings with his customers in four locations. The distance between each location are shown in the table below. Mr. Hala wants to know what order of visiting his customers will minimize the total distance traveled Formulate and find the optimal solution for this problem. Makkah Jeddah Taif Yanbu Makkah 76 87 385 Jeddah 76 172 326 Taif 87 172 485 Yanbu 385 326 485

LM.61 Boxmart needs to set up a new hub to distribute to a number of stores in four cities. The table below gives the map coordinates and number of weekly shipments for each city. City X Coordinate Y Coordinate Shipments A 5.1 2.0 18 5.2 0.5 40 C 1.0 5.4 10 1.2 1.5 16 What should be the center of gravity x-coordinate for the new hub? (Display your answer to two decimal places.) Number What should be the center of gravity y-coordinate for the new hub? (Display your answer to two decimal places.) Number

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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   Using the centre of gravity location technique, determine the location coordinates that will minimize the transportation costs for their family of products.

S7.20. An army division in Iraq has five troop encampments in the desert, and the division leaders want to determine the best location for 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 (in tons) required at each camp are as follows: S. C Coordinates Camp y Daily tonnage (1000s) 110 120 85 70 300 110 520 350 75 300 450 60 E 400 600 100 m uoy a. 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 and enemy troop concentrations. The coordinates (in miles) of these three potential sites are site 1 (400, 250), site 2 (100, 200), and site 3 (200, 500). Using the load-distance technique, determine the best site for the supply depot. ants A, B.

6.- Comfort Zone Furniture has plants in Boston, Dallas and Seattle, which ship their production to four demand centers, with the transportation costs indicated in the following table. Using the northwest corner method and stepping stone find the optimal solution. Boston Dallas Seattle Demand 1 $3 $6 $1 20 2 $5 $8 $9 60 3 $7 $5 $7 30 4 $4 $2 $3 40 Capacity 50 50 50 150

1. Given 6 customers and the costs (distances) between them, find the best route/scheduling using the savings method. Figure 1. Customers' locations (One of the customers is chosen as 0 for your convenience) 3 O 5 Table 1. The costs (distances) between customers Cu 0 1 0 1 2 3 4 5 10 6 13 17 5 10 5 8 6 8 6 5 7 11 9 2 13 8 7 10 16 3 17 6 11 10 10 5 8 9 16 10 1 5

SOLVE THE FOLLOWING PROBLEM OF TRANSPORTATION.Fertimex manufactures fertilizer for general application in 3 different plants located in Acayucan, Ver., Celaya, Gto. andSaltillo, Coah. and sends the final product to 4 different warehouses, 1,2,3 and 4. Since some manufacturing operationshave been around longer than others, there are different production costs at different plants. (TheNewer plants use more modern and up-to-date processes that result in lower costs of ownership.production). The table shows the production costs in pesos per ton and the capacity ofproduction in tons of each plant: Table 1 The requirements in tons of warehouses 1, 2, 3 and 4 are 300, 450, 500 and 600, respectively. Due toSince each warehouse operates separately, the sales prices per ton differ a little, being $62.00,$63.00, $64.00 and $64.00, respectively. How Fertimex managers want to maximize profitscompany totals; for this they must consider the transportation costs associated with the shipment of the…

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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   products