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- I have two locations where I will be delivering goods. Vaalbara is located at coordinates (10,0) and I have 10 truckloads going to it. Kenorland is located at coordinates (20,20) and I have 40 truckloads going to it. What is the center of gravity's X coordinate? Round to the nearest whole number (e.g. 33.2 -> 33). I have two locations where I will be delivering goods. Vaalbara is located at coordinates (10,0) and I have 10 truckloads going to it. Kenorland is located at coordinates (20,20) and I have 40 truckloads going to it. What is the center of gravity's Y coordinate? Round to the nearest whole number (e.g. 33.2 -> 33). 0*10 + 20*40 = 800. Sum of loads = 50. Y coordinate = 16If the amount of fabric shipped to each plant is equal, what is the optimal location for the fabric plant? Show your computationA larger and more modern main post office is to be constructed at a new location in Davis, California. Growing suburbs caused a shift in the population density from where it was 40 years ago, when the current facility was built. Annette Werk, the postmaster, asked her 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, M, are shown in the following table. M will continue to act as a mail source point after relocation. Mail Source Point Round trips per day x, y, Coordinates (miles) 1 8 2 2 1 6 3 4 6 7 M 2 4 8 The center of gravity "X" coordinate = 10 The center of gravity "Y" coordinate = 6 (11,5) (15,5) (1, 13) (2, 1) (4, 14) (16, 12) (15,5) (14,2) a. Calculate the center of gravity as a possible location for the new facility. (Enter your responses rounded to the nearest whole number.) b. Compare the load-distance scores for the…
- (2) Find an optimal solution for the following transportation problem. Town To Valley FROM Madison (M) Yonkers (1) Pittsburgh (P) Demand FROM Madison (M) Yonkers Pittsburgh FROM 3.50 Madison (M) Yonkers FROM $8 350 Madison (M) Yonkers (1) Pittsburgh $5 SIS 350 Valley (5) $8 $5 $15 Using the Stepping-Stone method to find an optimal plan. Tol Valley Town Junction (7) $8 Pittsburgh Demand 350 Part (a) Find the new TC= $5 $15 50 350 The above feasible plan is obtained by applying the Northwest Corner Rule (e.g., 300 from M to V, etc.), and its total cost = 350($8) +50($10)+150($12) +250($4)+200($11) +250($14) = $11.800, 150 $8 200 $5 The improvement indices below are determined as follows: Supply row M first, then sows Y and P) MJ: 9-4+12-10-2 400 MB: 6-11+12-10=-3 rv: 5-12+10-8-5 600 PP: 15-14+11-12-10-8-2 PT: 6-14+11-12- PA 11-14+11-4-4 Demand 350 200 the "most negative index" We focus on cell PT (index=-9). Its closed path is: PT to PB to YB to YT, and back to PT. To increase the…Consider you are an owner of one IT organization with 200 employees and you want to keep track of the location information of each employee. You know that none of the employees will go out from the city and the radius of the city is 50 km. What kind of location measure technique will be appropriate for you to keep rack of continuous location information? Explain with proper justification. Also, show how your chosen location measurement is better than the other ones.(A) Determine the total number of future trips generated in all zone? This table shows Number of currant Household and currant trips Zone A Zone B Zone C No. of No. of No. of person/Household = person/Household = person/Household = Auto/ Household 1 2-3 >3 No. of No. of No. of No. of No. of No. of Н.Н trips Н.Н trips Н.Н trips 1100 220 1500 600 1800 1080 1 950 380 1200 600 120 90 >1 80 100 200 300 50 80 This table shows Number of future Household Zone A Zone B Zone CTH No. of No. of No. of Auto/ Household person/Household = person/Household = person/Household 1 2-3 >3 3000 5000 6000 1 1500 4000 800 >1 300 700 200
- Prescott Industries transports sand and stone extracted fromits open-pit mines located in Odessa and Bryan to its con-crete block manufacturing facilities in Abilene, Tyler, and SanAngelo. For the capacities, locations, and shipment costs pertruckload shown in the Figure 13.13, determine the shippingpattern that will minimize transportation costs. What are theestimated transportation costs associated with this optimalallocation pattern?An auto company currently maintains plants in Cincinnati and Tulsa to supply two distributioncenters in Boston and Phoenix. The production and distribution costs, distribution demands aswell as facility capacities are given in the table attached. b) Using the intuitive lowest cost method, determines which of the candidate locations, inaddition to existing locations, gives the initial solution with a lower cost? c) Using the solutions obtained in b), identify which distribution center still faces a shortage. d) Suppose the company has chosen Houston as their third plant and would like to know the optimaltransportation strategy that minimizes overall costs by solving a minimum-cost flow problem.Terry has defined decision variables, represented as xij, to denote the number of items shippedfrom plant i to distribution center j wherei= C(Cincinnati), T(Tulsa), and H(Houston)j= B(Boston) and P(Phoenix)A valve manufacturer is considering three alternative locations for a new plant for manufacturing ball valves for oil and gas industry. Since the plant ships nationwide, revenue is assumed the same regardless of plant location. The estimated annual fixed and variable costs for each site is shown in TABLE Location Costs A B C Fixed (RM) 700,000 1,000,000 $1,500,000 Variable (RM) $28 $18 $12 Identify the range of output for which each location provides the lowest total cost. Show necessary graph and calculation used in the analysis. Discuss on the finding(s).
- 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?An auto compant currently maintains plants in Cincinnati and Tulsa to supply two distributioncenters in Boston and Phoenix. The production and distribution costs, distribution demands aswell as facility capacities are given in the table attached Using the northwest-corner method, determine the initial allocated quantity for eachshipping route as well as the overall cost.