A 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 fromwhere 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 mailis 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 thefollowing table. M will continue to act as a mail source point after relocation.Mail Source PointRound trips per day x, y, Coordinates (miles)4(4, 6)(8, 4)(3, 14)(6, 10)(12, 11)(13, 5)(13, 6)(14, 10)211157673M8a. Calculate the center of gravity as a possible location for the new facility. (Enter your responses rounded to the nearest whole number.)The center of gravity "X" coordinate = 9The center of gravity "Y" coordinate = 8.b. Compare the load-distance scores for the location in part (a) and the current location, using rectilinear distance. (Round all intermediate calculations to thenearest whole number.)The load-distance score to "M" is |. (Enter your response as an integer.)

Given data: Mail source point X Y Round trip per day 1 4 6 4 2 8 4 7 3 3 14 1 4 6 10 11…

Answered: A larger and more modern main post…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

Section: Chapter Questions

Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...

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center of gravity destination coordinates and shipment load: monthly quantity destination x quiapo 200 intramuros 10 10 180 tondo 16 4 210 center of gravity is at coordinates (1 decimal) example: 21.1,8.1 (no spaces) 08.
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 10 120 140,000
Explain how a routing guide might be used by a transportation manager.
You need to locate a distribution center to serve the West Coast. Using the map below, find the location that will minimize the average transportation cost to our five major customers. In the text box, answer the following questions: What is the optimal X coordinate (to 1 decimal place)? What is the optimal Y coordinate (to 1 decimal place)? You don't have to figure out which city is closest to your coordinates. City X Y Trucks/moSeattle 15 90 10San Francisco 12 40 20Denver 85 50 15Los Angeles 30 25 8Las Vegas 45 35 10
(2) Find an optimal solution for the following transportation problem. To Town (7) FROM Madison (M) Yonkers (1) Pittsburgh (P) Demand FROM Madison (M) Yonkers (Y) Pittsburgh FROM Valley (1) 350 To Valley (1) To FROM Madison (M) Yonkers (Y) 350 Pittsburgh (P) Demand $8 $15 $5 350 $8 Valley (1) Using the Stepping-Stone method to find an optimal plan. Town Junction (7) (J) $5 $15 Madison (M) Yonkers (1) Pittsburgh (P) Demand 350 Part (a) Find the new TC=_ $8 50 150 350 200 250 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. $5 $15 $8 $5 $15 50 150 $10 Town (T) 50 $12 150 200 $6 200 $10 $12 $6 Part (c) Determine the next improved plan. To Valley Town (7) $10 $12 $6 $10 Junction $12 250 $6 350 Part (d) Find the new TC = Part (1) Is the current solution optimal? 250 $9 $11 $4 Demand 350 200 250 We focus on cell PT (index=-9). Its closed path is: PT…
Silky Industries is looking for a location for its second telephone remanufacturing facility. Two cities are under consideration. The two most important location factors are Factor A "availability of resources" and Factor B "availability of customers." However, the company is having great difficulty assigning relative weights to these factors. Assuming that the factor weights must sum to 100, what range of weights would make Blake the superior location
An electronics firm located near Phoenix, Arizona, is considering where to locate a new phone switch that will link five buildings. The buildings are located at (0, 0), (2, 6), (10, 2), (3, 9), and (0, 4). The objective is to locate the switch to minimize the cabling required to those five buildings.a. Determine the gravity solution.b. Determine the optimal location assuming a straight-line distance measure. (If you are solving this problem by hand, iterate the appropriate equations at least five times and estimate the optimal solution.)
7. The BD restaurant chain purchases materials from four different food suppliers. The company wants to construct a new central distribution center to process and package the materials before shipping them to their various restaurants. The suppliers transport items in 40-foot truck trailers, each with a capacity of 38,000 lbs. The locations of the four suppliers and the annual number of trailer loads that will be transported to the distribution center are shown in the following table (distance in miles). Using the center-of-gravity method, determine a possible location for the distribution center. A B с D X Y 200 200 100 500 250 600 500 300 Load 75 105 135 60 BD wants to evaluate three different sites it has identified for its new distribution center relative to the four suppliers identified. The coordinates of the three sites under consideration are as follows: Site 1: x1 = 360, y₁ = 180 Site 2: X2 = 420, y2 = 450 Site 3: X3 = 250, y3 = 400
Task 1: An oil refining company ships the following gasoline volumes from its refining plant in Long beach to its major distributors: Coordinates (x, y) 400, 150 450, 350 350, 400 25, 450 Distributor Gallons (in millions) Anaheim 150 LaHabra 350 Glendale 250 Thousand Oaks 450 The location coordinates of the refining plant in Long Beach are: (325, 75). Under a new proposed distribution setting, the company wants to setup an intermediate holding facility, such that gasoline will first get transported to this holding facility, and then, from there, to the distributors. What will be the ideal location (coordinates) for the intermediate holding facility? (Round to 2 decimal places.)
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East Texas Seasonings began as a small business in Athens Texas. Over the years, the company's success has exceeded the capacity of this one location so Mr. Sass, the owner opened 3 additional branches. Each of these branches house a unique source of the company's secret blend. In an attempt to increase efficiency, the company is preparing to build one processing center to serve its four sources of seasonings. The 4 source locations are at the coordinates shown below. Also, the volume from each source is provided. X-coordinateY-coordinate Volume Athens, Texas 30 40 100 Beaumont, Texas 20 15 400 Carthage, Texas 55 60 150 Denton, Texas 20 70 250 b. Calculate the volume-weighted center of gravity.
Bindley Corporation has a one-year contract to supply motors for all washing machines produced by Rinso Ltd. Rinso manufactures the washers at four locations around the country. New York City, Fort Worth, San Diego, and Minneapolis. Plans call for the following numbers of washing machines to be produced at each location: New York City Fort Worth San Diego Minneapolis Bindley has three plants that can produce the motors. The plants and production capacities are Boulder Macon Gary Due to varying production and transportation costs, the profit Bindley earns on each 1,000 units depends on where they were produced and where they were shipped. The following table gives the accounting department estimates of the dollar profit per unit. (Shipment will be made in lots of 1,000.) Macon Gary PRODUCED AT NEW YORK CITY Boulder 12 From/To Boulder Macon Gary Requirements 75,000 45,000 60,000 50,000 100,000 145,000 65,000 Candidate Solution Boulder Macon Gary Total supplied Profit 24 11 Boulder Macon…

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