A new stadium complex is being planned for Denver, and the Denver traffic engineer is attempting to determine whether the city streets between the stadium complex and the interstate highway can accommodate the expected flow of 21,000 cars after each game. The various traffic arteries between the stadium (node 1) and the interstate (node 8) are shown in the following 10 8 7 0 1 5 0 2 3 3 4 6 6 5 4 5 0 2 0 0 5 6 26 2 7 8 4 9 0 0 0 8 The flow capacities on each street are determined by the number of available lanes, the use of traffic police and lights, and whether any lanes can be opened or closed in either direction. The flow capacities are given in thousands of cars. Determine the maximum traffic flow the streets can accommodate and the amount of traffic along each street. Will the streets be able to handle the expected flow after a game? Hint: I would use LP to solve it.
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- A company needs to locate three departments (X, Y, and Z) in the three areas (I, II, and III) of a new facility. They want to minimize interdepartmental transportation costs, which are expected to be $.50 per load meter moved. An analyst has prepared the following flow and distance matrices: Distances (meters) Flows (Loads per week) From/To I II III From/To X Y Z I - 10 20 X - 0 80 II - - 10 Y 30 - 150 III - Z 100 130 -If the company were to locate departments X, Y, and Z in areas 1, 2, and 3, respectively, what would be the total distance (in meters) loads would be moved each week?A. 3,100B. 3,600C. 6,200D. 7,200E. 8,200 Work must…Eve started a pizza business three years ago using the kitchen in her house. Customers call to order their pizza and Eve will deliver. Her business has grown so much that she hired four employees. Given the rate of growth, Eve decided to move her operations out of her kitchen and build a separate kitchen for her pizza business. She would like to choose a location that minimizes the total (or average) travel distance to deliver pizza to customers. From historical records, Eve has decided that her customers are unevenly distributed throughout her service area. To make her problem more manageable, she grouped the customers in the same general area into six regions. Using this information and other relevant information obtained from Eve, demonstrate how the centre of gravity location technique can be used to determine the best location that will minimize total travel distance.Eve started a pizza business three years ago using the kitchen in her house. Customers call to order their pizza and Eve will deliver. Her business has grown so much that she hired four employees. Given the rate of growth, Eve decided to move her operations out of her kitchen and build a separate kitchen for her pizza business. She would like to choose a location that minimizes the total (or average) travel distance to deliver pizza to customers. From historical records, Eve has decided that her customers are unevenly distributed throughout her service area. To make her problem more manageable, she grouped the customers in the same general area into six regions. Using this information and other relevant information obtained from Eve, demonstrate how the centre of gravity location technique can be used to determine the best location that will minimize total travel distance b. Using a numerical example, demonstrate how break-even analysis (graphical approach) can be used to determine the…
- Eve started a pizza business three years ago using the kitchen in her house. Customers call to order their pizza and Eve will deliver. Her business has grown so much that she hired four employees. Given the rate of growth, Eve decided to move her operations out of her kitchen and build a separate kitchen for her pizza business. She would like to choose a location that minimizes the total (or average) travel distance to deliver pizza to customers. From historical records, Eve has decided that her customers are unevenly distributed throughout her service area. To make her problem more manageable, she grouped the customers in the same general area into six regions. b. Using a numerical example, demonstrate how break-even analysis (graphical approach) canbe used to determine the best of three locations.In the original Gorman Construction Company problem, we found the shortest distance from the office (node 1) to the construction site located at node 6. Because some of the roads are highways and others are city streets, the shortest-distance routes between the office and the construction site may not necessarily provide the quickest or shortest-time route. Shown here is the Gorman road network with travel time rather than distance. Find the shortest route from Gorman’s office to the construction site at node 6 if the objective is to minimize travel time rather than distance.The director of Burtonsville Civil Defense Agency has been ordered to draw up a disaster plan for assigning casualties to hospitals in the event of a serious earthquake. For simplicity, we will assume that causalities will occur at two points in the city and will be transported to three hospitals. It is estimated that there will be 300 casualties at point A and 200 at point B. Travel times to hospitals 1, 2, and 3 are 25, 15, and 10 minutes, respectively; from point B they are 20, 5, and 15 minutes. Hospital capacities for emergency cases are 250, 150, and 150 patients. How should the victims be assigned to hospitals to minimize the total time lost in transporting them? Disaster Point Hospital Total Casualties 1 2 3 A 25 15 10 300 B 20 5 15 200 Maximum Capacity 250 150 150 Note:- Do not provide handwritten solution. Maintain accuracy and quality in your answer. Take care of plagiarism. Answer completely. You…
- How does an optimal frontier graph draw a risk-free line?The MidLands Trucking Company based in Louisvillehas eight trucks located throughout the Mideast that havedelivered their loads and are available for shipments. Through their Internet logistics site MidLands has re-ceived shipping requests from 12 customers. The follow-ing table shows the mileage for a truck to travel to a customer location, pick up the load, and deliver it. Determine the optimal assignment of trucks to customersthat will minimize the total mileage. Customers Truck A B C D E F G H I J K L1 500 730 620 410 550 600 390 480 670 710 440 5902 900 570 820 770 910 660 650 780 840 950 590 6703 630 660 750 540 680 750 810 560 710 1200 490 6504 870 1200 810 670 710 820 1200 630 700 900 540 6205 950 910 740 810 630 590 930 650 840 930 460 5606 1100 860 800 590 570 550 780 610 1300 840 550 7907 610 710 910 550 810 730 910 720 850 760 580 6308 560 690 660 640 720 670 830 690 880 1000 710 680BETTER 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. I already have an optimal solution (it's from the book). (I dont understand)-------------------------------------------------------------------------OPTIMAL SOLUTION:It has basic variables (assignments) X₁₂ = 30, X₁₃ = 30, X₁₅ = 15, X₂₄ = 15, X₂₅ = 60, X₃₁ = 20 and X₃₄ = 25, so that: Plant 1 produces all of products 2 and 3.Plant 2 produces 37.5% of product 4.Plant 3 produces 62.5% of product 4 and all of product 1. The total cost of Z = $3 260 per day.-------------------------------------------------------------------------Instructions:Please explain this…
- 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. I already have an optimal solution (it's from the book). (I dont understand)-------------------------------------------------------------------------OPTIMAL SOLUTION:It has basic variables (assignments) X₁₂ = 30, X₁₃ = 30, X₁₅ = 15, X₂₄ = 15, X₂₅ = 60, X₃₁ = 20 and X₃₄ = 25, so that: Plant 1 produces all of products 2 and 3.Plant 2 produces 37.5% of product 4.Plant 3 produces 62.5% of product 4 and all of product 1. The total cost of Z = $3 260 per day.-------------------------------------------------------------------------Instructions:Please explain this…PLEASE USE EXCEL Paul Bergey is in charge of loading cargo ships for International Cargo Company(ICC) at the port in Newport News, Virginia. Paul is preparing a loading plan for an ICC freighter destined for Ghana. An agricultural commodities dealer wants to transport the following products aboard this ship.Commodity Amount Available Volume per Ton Profit per Ton (tons) (cubic feet) ($) A 4,800 40 70B 2,500 25 50C 1,200 60 60D 1,700 55 80 Paul can elect to load any and/or all of the available commodities. However, theship has three cargo holds with the following capacity restrictions.Cargo Hold…. A refiner in city Q serves four customers near city W and maintains consignment inventory (owned by the refiner) at each location. Currently, the refiner uses TL (truckload) transportation to deliver separately to each customer. Each truck costs $(759) plus $(309) per stop. The refiner is considering aggregating deliveries to city W on a single truck. The demand of the first customer is 75 tons a year, the demand of the second customer is 30 tons per year, and the demand of the third and fourth customers is 10 tons per year. The product cost is $8,000 per ton, and it uses a holding cost of (24)%. The truck capacity is 20 tons. a. What is the optimal delivery policy to each customer if the refiner ships separately to each of them? What is the annual total inventory-related cost? b. What is the optimal delivery policy to each customer if the refiner aggregates shipments to each of the four customers on every truck that goes to city W? What is the annual total inventory-related cost?…