EBK PRODUCTION AND OPERATIONS ANALYSIS
7th Edition
ISBN: 9781478628385
Author: Olsen
Publisher: WAVELAND PRESS (ECONTENT)
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter 11.9, Problem 35P
Summary Introduction
Interpretation: Contour lines for two facilities located at
Concept Introduction: The line that passes through or drawn through points having the same value is called a contour line.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
A telecommunications system is going to be installed at a company site. Theswitching center that governs the system must be located in one of the five buildingsto be served. The goal is to minimize the amount of underground cabling required.In which building should the switching center be located? Assume a straight-linedistance measure.Building Location1 (10, 10)2 (0, 4)3 (6, 15)4 (8, 20)5 (15, 0)
Design a spreadsheet to compute the total rectilinear distance from a set of up to10 existing locations to any other location. Assume that existing locations areplaced in Columns A and B and the new location in cells D1 and E1. Initializecolumn A with the value of cell D1 and column B with the value of cell E1, so thatthe total distance will be computed correctly when there are fewer than10 locations.a. Suppose that existing facilities are located at (0, 0), (5, 15), (110, 120), (35, 25),(80, 10), (75, 20), (8, 38), (50, 65), (22, 95), and (44, 70), and the new facility is tobe located at (50, 50). Determine the total rectilinear distance of the new facilityto the existing facilities.b. Suppose the new facility in part (a) can be located only at x =0, 5, 10, . . . , 100and y = 0, 10, 20, . . . , 100. By systematically varying the x and y coordinates,find the optimal location of the new facility
(1) Find an optimal assignment of trucks to routes to minimize the total cost (using the Hungarian Method).
B
C
6
12
15
10
11
7
16
9
Truck / Route
1
2
3
4
Step la: Row subtraction (show your steps, e.g., see cell 1A)
Truck / Route
B
1
2
3
4
A
10
11
9
14
Step 1b: Column subtraction.
Truck / Route
1
2
3
4
A
10-6=4
=
=
=
=
=
B
=
с
=
C
Step 2: Testing for optimal solution (show your lines covering the zero entries).
What is the minimum number of lines required to cover all zeros?
D
8
14
10
13
D
=
=
D
=
Chapter 11 Solutions
EBK PRODUCTION AND OPERATIONS ANALYSIS
Ch. 11.3 - Prob. 1PCh. 11.3 - Prob. 2PCh. 11.3 - Prob. 3PCh. 11.3 - Prob. 4PCh. 11.3 - Prob. 5PCh. 11.3 - Prob. 6PCh. 11.4 - Prob. 7PCh. 11.4 - Prob. 8PCh. 11.5 - Prob. 10PCh. 11.6 - Prob. 11P
Ch. 11.6 - Prob. 12PCh. 11.6 - Prob. 13PCh. 11.6 - Prob. 14PCh. 11.6 - Prob. 15PCh. 11.6 - Prob. 16PCh. 11.6 - Prob. 17PCh. 11.6 - Prob. 18PCh. 11.6 - Prob. 19PCh. 11.7 - Prob. 20PCh. 11.7 - Prob. 21PCh. 11.7 - Prob. 22PCh. 11.7 - Prob. 23PCh. 11.8 - Prob. 24PCh. 11.8 - Prob. 25PCh. 11.8 - Prob. 26PCh. 11.8 - Prob. 27PCh. 11.9 - Prob. 28PCh. 11.9 - Prob. 29PCh. 11.9 - Prob. 30PCh. 11.9 - Prob. 31PCh. 11.9 - Prob. 32PCh. 11.9 - Prob. 33PCh. 11.9 - Prob. 34PCh. 11.9 - Prob. 35PCh. 11.9 - Prob. 36PCh. 11.9 - Prob. 37PCh. 11.9 - Prob. 38PCh. 11.10 - Prob. 39PCh. 11.10 - Prob. 40PCh. 11.10 - Prob. 41PCh. 11.11 - Prob. 42PCh. 11.11 - Prob. 43PCh. 11.11 - Prob. 45PCh. 11 - Prob. 46APCh. 11 - Prob. 47APCh. 11 - Prob. 48APCh. 11 - Prob. 49APCh. 11 - Prob. 50APCh. 11 - Prob. 51APCh. 11 - Prob. 52APCh. 11 - Prob. 53APCh. 11 - Prob. 54APCh. 11 - Prob. 55APCh. 11 - Prob. 56APCh. 11 - Prob. 58AP
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, operations-management and related others by exploring similar questions and additional content below.Similar questions
- a. A farmers' cooperative association plans to build a new sugar mill in Georgetown. The primary objective of the mill is to provide the farmers with a place to take their crop for processing that will reduce their transportation costs. The members of the co-op believe that the center-of-gravity method is appropriate for this objective. While there are over 200 sugar cane 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). Village Barney Valley Blue Pasture Congo Valley Bower Rabacca Salem Miles East of Miles North of Sugar Cane Browns Town Browns Town 90 140 20 50 100 10 10 60 70 20 80 120 tonnage 240,000 320,000 450,000 120,000 60,000 140,000arrow_forwardChoose the survey method that would result in this legal description: "Lot B, Block 10 of Cabernet Estate Subdivision, Grape County, Florida" metes and bounds government survey system rectangular survey system lot and blockarrow_forwardA county wants to build one centrally-located processing facility to serve the county's four recycling drop-off locations. The four drop-offs have characteristics as given in the table below. What is the approximate center of gravity of these four locations? (Round answer to two decimal places.) Location Drop-off point A Drop-off point B Drop-off point C Drop-off point D O A. (22.46, 25.17) O B. (8.00, 10.00) O C. (1,370.00, 730.00) O D. (11.25, 11.25) O E. (13.70, 7.30) X-coordinate 5 8 41 7 Y-coordinate 7 275 10 Tonnage 20 30 20 30arrow_forward
- Potential locations A and B have the cost structure shown below for manufacturing a product expected to sell for $7/unit. Make use of the graphical analysis discussed in the class, and choose all options that are true. Let "x" denote the number of units produced Cost details for locations A & B Fixed cost ($) 0 1200 Location A B Check All That Apply It x less than equal to 896, choose location A If x=800 units, choose location B Variable cost ($/unit) 12/7 3/8 Ifx-1000, choose location Barrow_forward9-43. Northwest University is in the process of complet-ing a computer bus network that will connect com-puter facilities throughout the university. The prime objective is to string a main cable from one endof the campus to the other (nodes 1–25) throughunderground conduits. These conduits are shownin the network below; the distance between them isin hundreds of feet. Fortunately, these undergroundconduits have remaining capacity through which thebus cable can be placed.(a) Given the network for this problem, how long (inhundreds of feet) is the shortest route from node1 to node 25?(b) In addition to the computer bus network, a newphone system is also being planned. The phonesystem would use the same underground conduits. If the phone system were installed, the follow-ing paths along the conduit would be at capacity and would not be available for the computer busnetwork: 6–11, 7–12, and 17–20. What changes(if any) would you have to make to the pathused for the computer bus if the phone…arrow_forwardIdentify the range of feasibility for the right-hand-side values. (If there is no upper or lower limit, enter NO LIMIT.) constraint 1 ______ to_______ constraint 2 ______to_______ constraint 3 ______to_______arrow_forward
- A company that handles hazardous waste wants to minimize the shipping cost for shipments to a disposal center from five receiving stations it operates. The locations of the receiving stations and the volumes to be shipped daily are given in the below table: Location ( x, y ) Daily Volume ( in truck loads ) A (5.70,5.00) 15 B (4.00,7.70 ) 9 C (1.90,2.80 ) 18 D (2.10,5.20 ) 16 E (7.50, 6.30) 17 1. Which one of the following coordinate is closest to the optimal location using median method? a) (4.00,5.20) b) (4.00,3.64) c) (2.60,5.20) d) (5.80,3.12) 2. Which one of the following coordinate is closest to the optimal location using gravity method? a) (4.22,4.62) b) (5.91,6.16) c) (4.22,5.13) d) (5.28,5.13) 3. Which one of the following is closest to the total distance traveled (optimal objective function value) using Rectilinear distance measure for the optimal median solution? a) 241 b)352 c)157 d)133arrow_forwardplease do it in excel 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. Note:One image is of the data and the other image is option 1 to solve the exercise.arrow_forwardIf there are five factories in the district, with locations and size given in the following table, use the center-of-gravity method to determine at which factory the central office should be placed to minimize the average distance between the office and employees. Location A B C D E (X,Y) (5,5) (0,5) (0,0) (5,0) (2,1) Size (Employees) 2500 1000 10000 4500 7500arrow_forward
- Assign nine automobile service departments to bays in a 3 × 3 grid so that the closeness ratings Problem 2 in the following matrix are satisfied. (The unimportant and ordinary-importance ratings have been omitted to simplify the example.) The location of department 4 must be in the upper right-hand corner of the grid to satisfy a town ordinance.arrow_forwardSuppose as many as 300 cars per hour can travelbetween any two of the cities 1, 2, 3, and 4. Set up amaximum-flow problem that can be used to determine howmany cars can be sent in the next two hours from city 1 tocity 4. (Hint: Have portions of the network represent t 0,t 1, and t 2.)arrow_forwardThe new Health-Watch facility is targeted to serve seven census tracts in Erie, Pennsylvania, whose lati-tudes and longitudes are shown in Table 13.1, along with the population in each census tract (in thou-sands). Customers will travel from the seven census-tract centers to the new facility when they needhealth care. What is the target area’s center of gravity for the Health-Watch medical facility?arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Practical Management ScienceOperations ManagementISBN:9781337406659Author:WINSTON, Wayne L.Publisher:Cengage,
Operations ManagementOperations ManagementISBN:9781259667473Author:William J StevensonPublisher:McGraw-Hill Education
Operations and Supply Chain Management (Mcgraw-hi...Operations ManagementISBN:9781259666100Author:F. Robert Jacobs, Richard B ChasePublisher:McGraw-Hill Education
Purchasing and Supply Chain ManagementOperations ManagementISBN:9781285869681Author:Robert M. Monczka, Robert B. Handfield, Larry C. Giunipero, James L. PattersonPublisher:Cengage Learning
Production and Operations Analysis, Seventh Editi...Operations ManagementISBN:9781478623069Author:Steven Nahmias, Tava Lennon OlsenPublisher:Waveland Press, Inc.
Practical Management Science
Operations Management
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:Cengage,
Operations Management
Operations Management
ISBN:9781259667473
Author:William J Stevenson
Publisher:McGraw-Hill Education
Operations and Supply Chain Management (Mcgraw-hi...
Operations Management
ISBN:9781259666100
Author:F. Robert Jacobs, Richard B Chase
Publisher:McGraw-Hill Education
Purchasing and Supply Chain Management
Operations Management
ISBN:9781285869681
Author:Robert M. Monczka, Robert B. Handfield, Larry C. Giunipero, James L. Patterson
Publisher:Cengage Learning
Production and Operations Analysis, Seventh Editi...
Operations Management
ISBN:9781478623069
Author:Steven Nahmias, Tava Lennon Olsen
Publisher:Waveland Press, Inc.