Develop a network representation of the distribution system (transportation problem). (Submit a file with a maximum size of 1 MB.)
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- Compute the average time it takes to sell a car in the country discussed below. A high-end luxury car manufacturer sells 22,000 cars per year to four dealerships in four regions of a country. Assume 50 weeks per year. Out of this total sale, 30% of the cars are sold in North-Region, 23% are sold in East-Region, 11% are sold in West-Region, and the rest are sold in South-Region. On average there are 1,000 cars of this manufacturer in all dealerships. Out of this total inventory, 19% of the cars are in the dealership in North-Region, 30% is in East-Region, 11% is in West-Region, and the rest is in South-Region..East Texas Seasonings is preparing to build one processing center to serve its four sources of seasonings. The four source locations are at coordinates shown below. Also, the volume from each source is provided. What is the center of gravity? X-coordinate Y-coordinate Volume Athens, Texas Beaumont, Texas 30 30 150 20 10 350 Carthage, Texas Denton, Texas 10 70 100 50 50 400 OX-28.125; Y = 31.25 OX= 32500; Y = 35000 %3D X 32.5; Y = 35 X- 27.5; Y 40 O center of gravity 28A 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
- Adelie Enterprises is exploring a new service to provide weekly delivery of grocery items to homes in the greater Greenwood area. The company’s customers place Web-based orders and Adelie’s team assembles and delivers the orders in specially designed cardboard boxes. Management, interested in locating a supplier that can provide boxes cheaply and efficiently, has discovered that each potential supplier’s ability to satisfy the company’s requirements is influenced by the level of demand. The following table provides Adelie’s vendor selection criteria, criterion weights, and rankings (1–10 with 10 being the highest) under the assumption that low, moderate,or high demand is generated for their service.a. Which supplier should be selected if there is low demand for Adelie’s new service? Which supplier should be selected under moderate demand assumptions? Under high demand assumptions?b. Which supplier is selected if Adelie evaluates each alternative using a Maximin decision criterion (see…A farmers' cooperative association plans to build a new sugar mill in Georgetown. Theprimary objective of the mill is to provide the farmers with a place to take their crop forprocessing that will reduce their transportation costs. The members of the co-op believe thatthe center-of-gravity method is appropriate for this objective. While there are over 200 sugarcane 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).VillageMiles East ofBrowns TownMiles North ofBrowns TownSugar CanetonnageBarney Valley 90 10 240,000Blue Pasture 140 60 320,000Congo Valley 20 70 450,000Bower 50 20 120,000Rabacca 100 80 60,000Salem 10 120 140,000Using the grid technique to determine the least-cost location (warehouse) for this problem: Tons Rate X - Coordinates Y – Coordinates S1 200 0.5 2 14 S2 300 0.6 6 10 M1 100 1 2 2 M2 100 2 10 14 M3 100 1 14 18 M4 100 2 14 6 The Grid center coordination is ____ and _____ (round the results to 1 decimal place) Group of answer choices (9.9; 7.8) (5.5; 6.9) (8.7; 10.5) (10.5; 6.4) (9.9; 8.9)
- Beagle Clothiers uses a weighted score for the evaluation and selection of its suppliers of trendy fashion garments. Each supplier is rated on a 10-point scale (10 = highest) for four different criteria: price, quality, delivery, and flexibility (to accommodate changes in quantity and timing). Because of the volatility of the business in which Beagle operates, flexibility is given twice the weight of each of the other three criteria, which are equally weighted (the sum of the four weights equals 1). The table shows the scores for three potential suppliers for the four performance criteria. 9 Rating Supplier A Supplier B Supplier C 8 5 Criteria 1. Price 2. Quality 3. Delivery 8 9 6 5 6 8 4. Flexibility 7 9 6 Based on the highest weighted score, which supplier should be selected? Supplier should be selected, with a total weighted score of. (Enter your response rounded to one decimal place.)Intercontinental hotel has over 200 hotels in 75 countries. Intercontinental is known for its luxurious rooms and buildings and for the high quality of its staff training. The hotels are not the standardized, but they reflect local styles and circumstances. For example, the Intercontinental in Lusaka, Zambia has a dinning room which is open to the gardens and swimming pool on one side so the guests effectively eat in the open air. This would obviously be impossible in a colder climate, but guests enjoy the tropical atmosphere and the hotel is often used for business meetings as a result. Intercontinental provides up-market accommodation for international travelers. The bulk of the guests are business people so the hotels provide excellent business facilities, including meeting rooms, conference centers, secretarial services, fax machines, internet facilities and a concierge desk. For people staying at these hotels, cost is very much less important than the level of service comfort. A…A trucking firm handles four commodities for a particular distributor. Total shipments for the commodities in the years 2000 and 2015, as well as the prices in the year 2000, are reported in the following table. Commodity Shipments Price/Shipment2000 2000 2015 A 120 90 $1,200 B 86 73 $1,800 C 35 50 $2,000 D 60 70 $1,500 Develop a weighted aggregate quantity index with a 2000 base. (Round your answer to the nearest integer.) I2015 = ______
- As part of Amazon logistics analytics team, you are tasked with creating a new algorithm that optimizes package deliveries in NYC. Specifically, your goal is to predict how many Amazon's own delivery vehicles (i.e. not UPS/USPS/FedEx) Amazon will need to send to streets of NYC on any given day. Explain which factors you might consider including in your prediction model and why. Suggested options include shipping costs for customers (1day/2day/5day), number of warehouses in the area (affects distance driven by vehicles), pick-up options such as Amazon Lockers in Whole Foods stores, number of deliveries fulfilled by UPS (as opposed to Amazon's own fleet), all kinds of traffic fees (tolls/parking fees/etc.).Maximize 8x + 9y Subject to -- x + 2 y 0 a) Solve using simplex methodJ 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.)