Sarah and Jennifer have just graduated from college at the University of Washington in Seattle and want to go on a road trip. They have always wanted to see the mile-high city of Denver. Their road atlas shows the driving time (in hours) between various city pairs, as shown below. What route should Sarah and Jennifer take to minimize the number of hours travelled? Seattle 3/ Portland 7 10 Boise 7. Butte 7 Salt Lake City 14 5 12 7 Billings 7 Cheyenne Grand 4 Denver Junction
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- Which of the following is NOT a method to develop an initial solution to a transportation model? - Group of answer choices - None...all are methods to develop an initial solution - northwest corner method - linear programming - intuitive least cost methodA chain of home health care firms in Louisiana needs to locate a central office from which to conduct internal audits and other periodic reviews of its facilities. These facilities are scattered throughout the state, as detailed in the following table. Each site, except for Houma, will be visited three times each year by a team of workers, who will drive from the central office to the site. Houma will be visited five times a year. Which coordinates represent a good central location for this office? What other factorsmight influence the office location decision? Where would youplace this office? Explain.Frieda Millstone and her family live in Roanoke, Virginia, and they are planning an auto vacation across Virginia, their ultimate destination being Washington, DC. The family has developed the following network of possible routes and cities to visit on their trip: The time, in hours, between cities (which is affected by the type of road and the number of intermediate towns) is shown along each branch. Determine the shortest route that the Millstone family can travel from Roanoke to Washington, DC.
- ART Contractors must locate an equipment staging area to serve three construction sites, located at coordinates (0,2), (0,4), and (5,5). Traffic between the staging area and each of the three sites will be equal. What is the best set of coordinates for the equipment staging area? Please show the math.Greenstreets Recycling, Inc., collects used motor oil from several collection sites around the Greater Stanford area. To minimize the use, and thereby the cost, of its labor, vehicle, and energy resources, the company is interested in locating the shortest route that will allow its collection vehicle to visit each collection site exactly once. The following table provides the travel distances in miles between each site. Note that the company’s recycling facility is located at site A. From/To A B C D E F A (depot) – 25 50 48 41 60 B 25 – 35 22 23 43 C 50 35 – 25 47 65 D 48 22 25 – 24 40 E 41 23 47 24 – 21 F 60 43 65 40 21 – Provide an efficient route for the collection vehicle.The FAA has granted a license to a new airline, Omniair, and awarded it several routes between Los Angeles and Chicago. The flights per day for each route are shown in the following network: Determine the maximum number of flights the airline can schedule per day from Chicago to Los Angeles and indicate the number of flights along each route.
- A bank has its head office in the financial district in the middle ofa city. A bank has six branches, three in the north of the city and threein the south all 5 km from the centre and spaced 3 km apart. The bankwishes to link all its branches via private leased lines but mustdecide between providing an individual line to each branch via anumber of inter-branch links and a smaller number of multiplexed linesto the centre. If a modem costs £100, a multiplexer/demultiplexercosts £200 and leased lines cost £100 per km per year to rent, suggesta design that will yield the most cost effective solution if theinstallation is to remain in operation for four years. 1st option is - link all branches by providing individual line to each branch via a number of inter branch links to the centre. 2nd option is - link all branches by providing smaller number of multiplexed lines to the centre Please calculate both options and choose the most cost effective solution for four years?PharmaCo wants to determine how to deploy sales representatives across its Western U.S. region to support a new drug for obesity. Sales representatives will be located in a "home city", which they serve, in addition to cities with feasible commuting distance, with the objective that all cities must be served by at least one sales representative. The feasible connections between each city in the region are listed below (1 indicates a feasible connection, potential home cities are shown in columns, and cities served in rows): Potential Rep Home City Served? Albuquerque El Paso Denver Phoenix San Diego Los Angeles San Francisco Portland Seattle Las Vegas Salt Lake City Albuquerque 1 1 1 1 0 0 0 0 0 0 0 El Paso 1 1 0 1 0 0 0 0 0 0 0 Denver 1 0 1 1 0 0 0 0 0 0 1 Phoenix 1 1 1 1 1 1 0 0 0 1 1 San Diego 0 0 0 1 1 1 1 0 0 1 0…PharmaCo wants to determine how to deploy sales representatives across its Western U.S. region to support a new drug for obesity. Sales representatives will be located in a "home city", which they serve, in addition to cities with feasible commuting distance, with the objective that all cities must be served by at least one sales representative. The feasible connections between each city in the region are listed below (1 indicates a feasible connection, potential home cities are shown in columns, and cities served in rows): Potential Rep Home City Served? Albuquerque El Paso Denver Phoenix San Diego Los Angeles San Francisco Portland Seattle Las Vegas Salt Lake City Albuquerque 1 1 1 1 0 0 0 0 0 0 0 El Paso 1 1 0 1 0 0 0 0 0 0 0 Denver 1 0 1 1 0 0 0 0 0 0 1 Phoenix 1 1 1 1 1 1 0 0 0 1 1 San Diego 0 0 0 1 1 1 1 0 0 1 0…
- The following table gives the map coordinates and the shipping loads for a set of cities that we wish to connect through a central hub. Using the Center of Gravity method, near which map coordinates should the hub be located? STORE LOCATION CONTAINERS SHIPPED PER MONTH X Y Chicago 2,000 50 120 Pittsburgh 1,000 110 100 New York 3,000 160 130 Atlanta 2,000 120 40On Thursdays, Traxis Consolidated delivers liquid oxygento its industrial customers in northern Michigan. The tablebelow provides the driving time in minutes among allcustomers and the Traxis liquid oxygen depot location. a. Currently, Traxis travels from the depot (A) to (F) to (G) to(D) to (E) to (H) to (B) to (C), then returns to (A). What isthe total driving time using this route?b. Using the depot (A) as the beginning location, create aroute using the NN heuristic. What is the total driving timeusing this route?c. Use the NN heuristic to calculate seven routes, each start-ing from one of Traxis’s customer’s locations. What areyour conclusions?Katie Reynolds owns two exclusive women's clothingstores in Miami. In her plan to expand to a third location,she has narrowed her decision to three sites- one in a downtownoffice building, one in a shopping mall, and one in anold Victorian house in the suburban area of Coral Gables. Shefeels that rent is absol utely the most importa nt factor to beconsidered, although walk-in traffic is 90% as important asrent. Further, the more distant the new store is from her twoexisting stores, the better. She weights this factor to be 80%as important as walk-in traffic. Katie developed the followingtable, in which she graded each site from A to D, with A beingbest. Which site is preferable?