Maximum Flow
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- please do it in excel BETTER PRODUCTS COMPANY has decided to start manufacturing four new products in three plants that currently have excess production capacity. The products require comparable production effort per unit, so the available production capacity in the plants is measured by the number of units of any product that can be manufactured per day. a)Formulate this problem as a transportation problem by constructing the appropriate parameter table. Note:One image is of the data and the other image is option 1 to solve the exercise.Suppose as many as 300 cars per hour can travelbetween any two of the cities 1, 2, 3, and 4. Set up amaximum-flow problem that can be used to determine howmany cars can be sent in the next two hours from city 1 tocity 4. (Hint: Have portions of the network represent t 0,t 1, and t 2.)The new Health-Watch facility is targeted to serve seven census tracts in Erie, Pennsylvania, whose lati-tudes and longitudes are shown in Table 13.1, along with the population in each census tract (in thou-sands). Customers will travel from the seven census-tract centers to the new facility when they needhealth care. What is the target area’s center of gravity for the Health-Watch medical facility?
- On a daily basis, the Vampire Van is dispatched from Maplewood Hospital to pickup blood and platelet donations made at its local donation centers. The distances in miles between all locations may be found in Table.a. The Vampire Van travels from Maplewood Hospital (A) to (B) to (C) to (D) to (E) and then returns to the hospital (A). What is the total number of miles that the van must travel using this route?b. Using Maplewood Hospital as the beginning location, create a route using the NN heuristic. What is the total number of miles that the van must travel using this route?c. Using Valley Hills (E) as the beginning location, create a route using the NN heuristic. What is the total number of miles that the van must travel using this route?A county wants to build one centrally-located processing facility to serve the county's four recycling drop-off locations. The four drop-offs have characteristics as given in the table below. What is the approximate center of gravity of these four locations? (Round answer to two decimal places.) Location Drop-off point A Drop-off point B Drop-off point C Drop-off point D O A. (22.46, 25.17) O B. (8.00, 10.00) O C. (1,370.00, 730.00) O D. (11.25, 11.25) O E. (13.70, 7.30) X-coordinate 5 8 41 7 Y-coordinate 7 275 10 Tonnage 20 30 20 30The new Health-Watch facility is targeted to serve seven census tracts in Erie, Pennsylvania, whose latitudes and longitudes are shown in Table, along with the population in each census tract (in thousands). Customers will travel from the seven census-tract centers to the new facility when they need health care. What is the target area’s center of gravity for the Health-Watch medical facility?
- ABC Bank is thinking of opening a new branch in a certain city besides its existing branches due tocustomers’ complaints of long waiting lines and distant of existing branches from them. As an expertin field of banking operations, you were asked to put the criteria of choosing the new location a- What and why would be the type of the quantity used in the break even analysis and what would be the suitable methods to use to achieve faster break even b- If you were asked to choose a mechanism for forecasting the number of transactions per day, what would be the methodology that you will use to decide such forecasting method and what do you think this method may be?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.Val’s Pizza is looking for a single central location to make pizza for delivery only. This college town is arranged on a grid with arterial streets, as shown in Figure. The main campus (A), located at 14th and R, is the source of 4,000 pizza orders per week. Three smaller campuses (B, C, and D) are located at 52nd and V, at 67th and Z, and at 70th and South. Orders from the smaller campuses average 1,000 pizzas per week. In addition, the State Patrol headquarters (E) at 10th and A orders 500 pizzas per week.a. At about what intersection should Val start looking for a suitable site? (Estimate coordinates for the major demands accurate to the nearest one-quarter mile, and then find the center of gravity.)b. What is the rectilinear weekly load–distance score for this location?c. If the delivery person can travel 1 mile in 2 minutes on arterial streets and ¼ mile per minute on residential streets, going from the center of gravity location to the farthest demand location will take how long?
- 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 60,000 140,000Find the shortest route for a delivery truck going from the PLANT, to the warehouse, then delivery to points 3, 4, and 5 (can be interchanged), and back to the plant again. Plant 1 100 200 50 3 200 100 40 5 150 100 100 6 WarehouseDescribe in your own words assumptions of Maximal Flow Problem by indicating any differences with the assumptions of Transshipment Problem.