Practical Management Science
6th Edition
ISBN: 9781337406659
Author: WINSTON, Wayne L.
Publisher: Cengage,
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter 6, Problem 100P
Summary Introduction
To explain: The way Integer programming can be utilized to approach this situation.
Integer programming:
It is mathematical modeling or feasibility problem in which some variables are being restricted to being integers.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
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…
A company wants to expand its offices to different cities in the future which might cost them alot and will lower their companies revenue suggest three alternatives with advanatges and disadvanatges they can opt for instead of building offices in different cities
Chapter 6 Solutions
Practical Management Science
Ch. 6.3 - Prob. 1PCh. 6.3 - Prob. 2PCh. 6.3 - Solve Problem 1 with the extra assumption that the...Ch. 6.3 - Prob. 4PCh. 6.3 - Prob. 5PCh. 6.3 - Prob. 6PCh. 6.3 - Prob. 7PCh. 6.3 - Prob. 8PCh. 6.3 - Prob. 9PCh. 6.3 - Prob. 10P
Ch. 6.4 - Prob. 11PCh. 6.4 - Prob. 12PCh. 6.4 - Prob. 13PCh. 6.4 - Prob. 14PCh. 6.4 - Prob. 15PCh. 6.4 - Prob. 16PCh. 6.4 - Prob. 17PCh. 6.4 - Prob. 18PCh. 6.4 - Prob. 19PCh. 6.4 - Prob. 20PCh. 6.4 - Prob. 21PCh. 6.4 - Prob. 22PCh. 6.4 - Prob. 23PCh. 6.5 - Prob. 24PCh. 6.5 - Prob. 25PCh. 6.5 - Prob. 26PCh. 6.5 - Prob. 28PCh. 6.5 - Prob. 29PCh. 6.5 - Prob. 30PCh. 6.5 - In the optimal solution to the Green Grass...Ch. 6.5 - Prob. 32PCh. 6.5 - Prob. 33PCh. 6.5 - Prob. 34PCh. 6.5 - Prob. 35PCh. 6.6 - Prob. 36PCh. 6.6 - Prob. 37PCh. 6.6 - Prob. 38PCh. 6 - Prob. 39PCh. 6 - Prob. 40PCh. 6 - Prob. 41PCh. 6 - Prob. 42PCh. 6 - Prob. 43PCh. 6 - Prob. 44PCh. 6 - Prob. 45PCh. 6 - Prob. 46PCh. 6 - Prob. 47PCh. 6 - Prob. 48PCh. 6 - Prob. 49PCh. 6 - Prob. 50PCh. 6 - Prob. 51PCh. 6 - Prob. 52PCh. 6 - Prob. 53PCh. 6 - Prob. 54PCh. 6 - Prob. 55PCh. 6 - Prob. 56PCh. 6 - Prob. 57PCh. 6 - Prob. 58PCh. 6 - Prob. 59PCh. 6 - Prob. 60PCh. 6 - Prob. 61PCh. 6 - Prob. 62PCh. 6 - Prob. 63PCh. 6 - Prob. 64PCh. 6 - Prob. 65PCh. 6 - Prob. 66PCh. 6 - Prob. 67PCh. 6 - Prob. 68PCh. 6 - Prob. 69PCh. 6 - Prob. 70PCh. 6 - Prob. 71PCh. 6 - Prob. 72PCh. 6 - Prob. 73PCh. 6 - Prob. 74PCh. 6 - Prob. 75PCh. 6 - Prob. 76PCh. 6 - Prob. 77PCh. 6 - Prob. 78PCh. 6 - Prob. 79PCh. 6 - Prob. 80PCh. 6 - Prob. 81PCh. 6 - Prob. 82PCh. 6 - Prob. 83PCh. 6 - Prob. 84PCh. 6 - Prob. 85PCh. 6 - Prob. 86PCh. 6 - Prob. 87PCh. 6 - Prob. 88PCh. 6 - Prob. 89PCh. 6 - Prob. 90PCh. 6 - Prob. 91PCh. 6 - Prob. 92PCh. 6 - This problem is based on Motorolas online method...Ch. 6 - Prob. 94PCh. 6 - Prob. 95PCh. 6 - Prob. 96PCh. 6 - Prob. 97PCh. 6 - Prob. 98PCh. 6 - Prob. 99PCh. 6 - Prob. 100PCh. 6 - Prob. 1CCh. 6 - Prob. 2CCh. 6 - Prob. 3.1CCh. 6 - Prob. 3.2CCh. 6 - Prob. 3.3CCh. 6 - Prob. 3.4CCh. 6 - Prob. 3.5CCh. 6 - Prob. 3.6C
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
- SC Consulting, a supply chain consulting firm, must decide on the location of its home offices. Its clients are located primarily in the 5 states listed below. There are four potential sites for home offices: Los Angeles, Tulsa, Denver, and Seattle. The annual fixed cost of locating an office in Los Angeles is $165,000, Tulsa is $131,000, Denver is $140,000, and Seattle is $145,000. The expected number of trips to each state and the travel costs from each potential site are shown below. Each consultant is expected to take at most 40 trips each year.If at most 3 consultants are to be assigned to a home office, where should the offices be set up? How many consultants should be assigned to each office? What is the annual cost of this network? Please generate the conceptual model and excel model to answer these questions.Travel cost ($)Los Angeles Tulsa Denver Seattle Number of trips requiredWashington 150 250 200 25 40Oregon 150 250 200 75 35California 75 200 150 125 100Idaho 150 200 125…arrow_forwardSC Consulting, a supply chain consulting firm, must decide on the location of its home offices. Its clients are located primarily in the 5 states listed below. There are four potential sites for home offices: Los Angeles, Tulsa, Denver, and Seattle. The annual fixed cost of locating an office in Los Angeles is $165,000, Tulsa is $131,000, Denver is $140,000, and Seattle is $145,000. The expected number of trips to each state and the travel costs from each potential site are shown below. Each consultant is expected to take at most 40 trips each year. If at most 3 consultants are to be assigned to a home office, where should the offices be set up? How many consultants should be assigned to each office? What is the annual cost of this network? Travel cost ($) Los Angeles Tulsa Denver Seattle Number of trips required Washington 150 250 200 25 40 Oregon 150 250 200 75 35 California 75 200 150 125 100 Idaho 150 200 125 125 25 Nevada 100 200 125 150 40 Tips: The limit number of consultants…arrow_forwardPLEASE SHOW ALL FORMULA 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…arrow_forward
- The Thor International Company operates four factories that ship products to five warehouses. The shipping costs, requirements, and capacities are shown in the tableau below. Use the transportation method to find the shipping schedule that minimizes shipping cost. Factory Shipping Cost per Case to each Warehouse Capacity W1 W2 W3 W4 W5 Dummy F1 $4 $5 $4 $3 $6 $0 50,000 F2 $3 $4 $4 $5 $7 $0 80,000 F3 $3 $4 $5 $3 $5 $0 90,000 F4 $4 $6 $5 $6 $3 $0 40,000…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_forwardExpedition companies headquartered in Bintaro want to developed its business in Medan, Balikpapan and Menado and will place 3 branch heads (Aria, Yuda and Roni) from several branch offices owned by the company in Central Java to set-up offices and run operations in 3 locations. Below is the cost to allocate the 3 branch heads to each location: branch head/ branch office Medan(3 Rp. 10.000) Balikpapan(3 Rp. 10.000) Manado (3 Rp. 10.000) ARIA 800 1100 1200 YUDA 500 1300 1300 RONI 500 1000 2300 a. Create a table using the assignment method.b. Based on the results of your calculations, what advice can you give to the most optimum company leaders of location placement of each branch head above? Explain why?c. What is the total optimum cost that must be incurred by the company to allocate to all branch offices of the company?arrow_forward
- ASAP PLEASE.. The distribution of goods from the source (factory) to the target (warehouse) will cause problems regarding TRANSPORT, namely how the goods are sent from the factory to the warehouse which produces minimum costs. If it is known that - the capacity of 3 factories is 40000, 30000 and 20000, - the need for 3 warehouses is 20000, 50000 and 30000 respectively. The cost of shipping goods from the factory to the warehouse is shown in the following table Solve the above TRANSPORTATION problems with VAM and MODIarrow_forwardSeveral oil companies are jointly planning to build an oil pipeline to connect several southwestern, southeastern, and midwestern cities, as shown in the following network: The miles between cities are shown on each branch. Determine a pipeline system that will connect all 10 cities, using the minimum number of miles of pipe, and indicate how many miles of pipe will be used.arrow_forwardA sports apparel company has received an order for a college basketball team’snational championship T-shirt. The company can purchase the T-shirts from textile factoriesin Mexico, Puerto Rico, and Haiti. The shirts are shipped from the factories to companies inthe United States that silk-screen the shirts before they are shipped to distribution centers.Following are the production and transportation costs ($/shirt) from the T-shirt factories tothe silk-screen companies to the distribution centers, plus the supply of T-shirts at thefactories and demand for the shirts at the distribution centers (a) Formulate this problem in Excel and (b) determine the optimal shipments to minimize totalproduction and shipping costs for the apparel company.arrow_forward
- A sports apparel company has received an order for a college basketball team’snational championship T-shirt. The company can purchase the T-shirts from textile factoriesin Mexico, Puerto Rico, and Haiti. The shirts are shipped from the factories to companies inthe United States that silk-screen the shirts before they are shipped to distribution centers.Following are the production and transportation costs ($/shirt) from the T-shirt factories tothe silk-screen companies to the distribution centers, plus the supply of T-shirts at thefactories and demand for the shirts at the distribution centers: Silk-Screen CompanyT-shirt factory T-shirt factory 4. Miami 5. Atlanta 6. Houston Supply(1,000 lbs.)1. Mexico $4 $6 $3 182. Puerto Rico $3 $5 $5 153. Haiti…arrow_forwardKCS Ltd has got three production lines with the same production costs namely; K, L, and S whose production capacities are 140, 160, and 200 units respectively. These are marketed through four destinations B, C, J, and M having demands of 110, 150, 140, and 100 units respectively. The transportation cost between the production lines and market destinations are; K to B, K to C, K to J, K to M, L to B, L to C, L to J, L to M, S to B, S to C, S to J, and S to M as 18, 11, 13, 29, 19, 25, 15, 28, 24, 27, 19, and 12 respectively all costs are US dollars. a).Create a working table taking lines as rows and destinations as columns b). Determine the Cheapest route and Most expensive route to use c).Use the Northwest Corner Method to distribute the products d).Vogel’s Approximation Technique e).Compute their respective total costs incurredarrow_forwardThe JPC Company has five different production jobs to complete next week. Five multipurpose machines, each with somewhat different characteristics are available. The estimated costs of completing each job on each of the five machines are as follows: Allocate each job to each machine for minimum cost: Job 2 was assigned to? what is total assignment cost?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,