A larger and more modern main post office is to be constructed at a new location in Davis, California. Growing suburbscaused a shift in the population density from where 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 mail is picked up anddelivered in bulk. The coordinates and trips per day to and from the seven mail source points and the current mainpost office, M, are shown in the following table. M will continue to act as a mail source point after relocation.Mail Source Point Round trips per day x, y, Coordinates (miles)1822163467M248The center of gravity "X" coordinate = 10The center of gravity "Y" coordinate = 6(11,5)(15,5)(1, 13)(2, 1)(4, 14)(16, 12)(15,5)(14,2)a. Calculate the center of gravity as a possible location for the new facility. (Enter your responses rounded to the nearestwhole number.)b. Compare the load-distance scores for the location in part (a) and the current location, using rectilinear distance.(Round all intermediate calculations to the nearest whole number.)The load-distance score to "M" is(Enter your response as an integer.)

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Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

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

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(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…
We have four major customers, and want to find the location that minimizes the average distance traveled to deliver products to them. Customer X coord Y coord Demand A 10 10 100 B 15 40 20 C 35 12 20 D 38 40 150 What is the optimal X coordinate for our location?
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.)
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 from where 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 mail is 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 the following table. M will continue to act as a mail source point after relocation. Mail Source Point Round trips per day x, y, Coordinates (miles) 1 4 (4, 6) 7 (8, 4) (3, 14) (6, 10) (12, 11) (13, 5) (13, 6) (14, 10) 3 1 4 11 7 3 7 3 M 8 a. 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 = The center of gravity "Y" coordinate =
Can you give me some ideas for research questions about logistics in the philippines
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.)
Use the centroid method to determine the best location for this new facility.
Please don't answer in handwritten..thanku
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…
Explain the relationship between the number of facilities and transportation cost and draw the graph

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