Practical Management Science
6th Edition
ISBN: 9781337406659
Author: WINSTON, Wayne L.
Publisher: Cengage,
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter 7.5, Problem 27P
a)
Summary Introduction
To develop: A model to minimize the total annual cost.
Non-linear programming (NLP):
Non-linear programming (NLP) is used in complex optimization problems where the objectives or constraints or sometimes both are non-linear functions of the decision variables. A model can be termed as non-linear for more than one reason.
b)
Summary Introduction
To use: The solver table to identify how large the cost must be before the company builds both its warehouses instead of one.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Oscar’s Bowling, Inc., wants to break into the Phoenix metropolitan market with one of its super-sized 200 lane, 24-hour bowling alleys. It, however, only has enough capital to build one facility. Oscar wants it to be centered by population, as determined by the center of gravity method. The following information is given:
City
Population
x coordinate
y coordinate
Tempe
Scottsdale
Chandler
Mesa
Glendale
250,000
400,000
300,000
700,000
350,000
5
5
5
10
1
5
10
0
1
10
a. Where should Oscar build? b. If Oscar wanted to relocate to the closest city near his new facility, where would he live?
Oscar's Bowling, Ic., wants to break into the Phoenix metropolitan market with one of its super-sized 200 lane, 24-hour bowling alleys. It, however, only has enough
capital to build one facility. Oscar wants it to be centered by population, as determined by the center of gravity method. The following information is given:
City
Population
x coordinate
y coordinate
Tempe
285,000
Scottsdale
350,000
10
Chandler
725,000
5
Mesa
300.000
10
1
Glendale
345,000
1
10
a. Where should Oscar build?
Oscar should build at an x coordinate of and a y coordinate of . (Enter your responses rounded to one decimal place.)
An operations manager wants to use gravity location approximation to decide the location of a
warehouse. The x and y coordinates of three customer locations, demand (D) at those locations,
and transportation costs per unit per mile (F) are presented in the table below. Help the
operations manager by finding the approximate location of the warehouse.
Customers
y
F
1
10
20
1
10
2
20
1
20
3
10
10
2
10
x=20, y=10
x=14, y=10
x=10, y=14
x=13.3, y=11.7
O x=10, y=15
Chapter 7 Solutions
Practical Management Science
Ch. 7.3 - Prob. 1PCh. 7.3 - Prob. 2PCh. 7.3 - Pricing Decisions at Madison The Madison Company...Ch. 7.3 - Prob. 4PCh. 7.3 - Prob. 5PCh. 7.3 - Prob. 6PCh. 7.3 - Prob. 7PCh. 7.3 - Prob. 8PCh. 7.3 - Prob. 9PCh. 7.3 - Prob. 10P
Ch. 7.3 - Prob. 11PCh. 7.3 - Prob. 12PCh. 7.3 - Prob. 13PCh. 7.3 - PRICING SUITS AT SULLIVANS Sullivans is a retailer...Ch. 7.3 - Prob. 15PCh. 7.4 - Prob. 16PCh. 7.4 - Prob. 17PCh. 7.4 - Prob. 18PCh. 7.4 - Prob. 19PCh. 7.4 - Prob. 20PCh. 7.4 - Prob. 21PCh. 7.4 - Prob. 22PCh. 7.4 - Prob. 23PCh. 7.5 - Prob. 24PCh. 7.5 - Prob. 25PCh. 7.5 - Prob. 26PCh. 7.5 - Prob. 27PCh. 7.6 - Prob. 28PCh. 7.6 - Prob. 29PCh. 7.6 - Prob. 30PCh. 7.6 - Prob. 31PCh. 7.6 - Prob. 32PCh. 7.6 - Prob. 33PCh. 7.6 - The method for rating teams in Example 7.8 is...Ch. 7.7 - Prob. 35PCh. 7.7 - Prob. 36PCh. 7.7 - Prob. 37PCh. 7.7 - The stocks in Example 7.9 are all positively...Ch. 7.7 - Prob. 39PCh. 7.7 - Prob. 40PCh. 7.7 - Prob. 41PCh. 7.7 - Prob. 42PCh. 7.8 - Given the data in the file Stock Beta.xlsx,...Ch. 7.8 - Prob. 44PCh. 7 - Prob. 45PCh. 7 - Prob. 46PCh. 7 - Another way to derive a demand function is to...Ch. 7 - Prob. 48PCh. 7 - If a monopolist produces q units, she can charge...Ch. 7 - Prob. 50PCh. 7 - Prob. 51PCh. 7 - Prob. 52PCh. 7 - Prob. 53PCh. 7 - Prob. 54PCh. 7 - Prob. 55PCh. 7 - Prob. 56PCh. 7 - A beer company has divided Bloomington into two...Ch. 7 - Prob. 58PCh. 7 - Prob. 59PCh. 7 - Prob. 60PCh. 7 - Prob. 61PCh. 7 - Prob. 62PCh. 7 - Prob. 63PCh. 7 - You have 50,000 to invest in three stocks. Let Ri...Ch. 7 - Prob. 65PCh. 7 - Prob. 66PCh. 7 - Prob. 67PCh. 7 - Prob. 68PCh. 7 - Prob. 69PCh. 7 - Prob. 70PCh. 7 - Based on Grossman and Hart (1983). A salesperson...Ch. 7 - Prob. 73PCh. 7 - Prob. 74PCh. 7 - Prob. 75PCh. 7 - Prob. 76PCh. 7 - Prob. 77PCh. 7 - Prob. 78PCh. 7 - Prob. 79PCh. 7 - Prob. 80PCh. 7 - Prob. 81PCh. 7 - Prob. 82PCh. 7 - Prob. 83PCh. 7 - Prob. 84PCh. 7 - Prob. 85PCh. 7 - Prob. 86PCh. 7 - Prob. 1.1CCh. 7 - Prob. 1.2CCh. 7 - Prob. 1.3CCh. 7 - Prob. 1.4C
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
- Oscar's Bowling, Inc., wants to break into the Phoenix metropolitan market with one of its super-sized 200 lane, 24-hour bowling alleys. It, however, only has enough capital to build one facility. Oscar wants it to be centered by population, as determined by the center of gravity method. The following information is given: City Population x coordinate y coordinate Tempe 275,000 5 5 Scottsdale 415,000 5 10 Chandler 310,000 5 0 Mesa 660,000 10 1 Glendale 335,000 1 10 a. Where should Oscar build? Oscar should build at an x coordinate of nothing and a y coordinate of nothing. b. If Oscar wanted to relocate to the closest city near his new facility, where would he live? (Enter your responses rounded to one decimal place.)arrow_forwardJ 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.)arrow_forwardGiven the following existing facilities data: Existing facility #1 has weight 2 and coordinate (9, 10). Existing facility #2 has weight 10 and coordinate (6, 8). Existing facility #3 has weight 8 and coordinate (-3, -3). Existing facility #4 has weight 9 and coordinate (5, 2). Existing facility #5 has weight 3 and coordinate (-7, -1). Existing facility #6 has weight 7 and coordinate (-2, -6). Existing facility #7 has weight 4 and coordinate (-5, 0). Existing facility #8 has weight 3 and coordinate (4, -7). What is the optimal minisum rectilinear x-coordinate? What is the optimal minisum rectilinear y-coordinate? What is the optimal minisum rectilinear objective function value? Need allarrow_forward
- Using 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)arrow_forwardEast 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 28arrow_forwardRauschenberg Manufacturing is investigating which locations would best position its new plant relative to three important customers (located in cities A, B, and C). As shown in the table below, all three customers require multiple daily deliveries. Management limited the search for this plant to those three locations and compiled the following information: Location A B C Coordinates (miles) (200,100) (400,200) (300,100) a. Which of these three locations yields the smallest load-distance score, based on Euclidean distances? Location one decimal place.) b. Which of these locations is best, based on rectilinear distances? yields the smallest load-distance score of Location whole number.) c. What are the coordinates of the center of gravity? is the best, yielding a load-distance score of * The center of gravity is x = decimal place.) * Deliveries per day miles, y = 5 7 9 (Enter your response rounded to (Enter your response as a miles. (Enter your responses rounded to onearrow_forward
- Microserve provides computer repair service on a contract basis to customers in five sections of the city. The five sections, the number of service contracts in each section, and the x and y coordinates of each section are as follows: No. of Coordinates Section Contracts x y Parkview 70 5.2 8.3 Mt. Airy 200 3.6 3.0 Valley 70 13.6 7.2 Norwood 300 15.1 4.0 Southgate 170 13.8 8.7 Use the center-of-gravity method to determine an ideal location for a service center. Round your answers to two decimal places. Cx: ____________Cy: ____________ A supply chain manager faced with choosing among four possible locations has assessed each location according to the following criteria, where the weights reflect the importance of the criteria. Location Criteria Weight 1 2 3 4 Raw material availability 0.06 P VG OK VG Infrastructute 0.07 P G VG OK Transportation costs 0.33 G P OK P Labor relations 0.25 VG G…arrow_forwardThe Walgreen chain prefers to operate one outlet in a town that has four major market segments. The number of potential customers in each segment along with the coordinates are as follows: Find the best location using the Center of Gravity Excel template. Market Segment Location Coordinates Number of Customers x y 1 4 15 3300 2 10 13 900 3 5 2 1250 4 9 6 3500arrow_forward(c) An oil company owns a pipeline network that is used to convey oil from its source to several storage locations. Due to the varying pipe sizes, the flow capacities vary. By selectively opening and closing sections of the pipeline network, the firm can supply any of the storage locations. 3 5 2 4 2 If the company wants to fully utilize the system capacity to supply storage location 6, what is the maximal flow for this pipeline system from location 1 to location 6?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_forwardPotential 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_forwardA logistics company plans to provide coal logistics transportation services to HY coal sales enterprise. HY coal sales enterprise has coal storage and sales points in B and D, with available coal quantities of 1600t and 8000t, respectively; A and C represents the locations of two coal users, with a demand of 8000t and 1600t respectively. The distribution of relevant locations and travel distances are shown in Figure 1. Based on the above conditions, try to calculate and explain from the perspective of transportation capacity consumption: How should logistics company HY plan transportation routes in order to make them more reasonable? (a transportation route planning scheme needs to be illustrated) . Note:The solution should not be hand written.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,
Practical Management Science
Operations Management
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:Cengage,