![Practical Management Science, Loose-leaf Version](https://www.bartleby.com/isbn_cover_images/9781305631540/9781305631540_largeCoverImage.gif)
Practical Management Science, Loose-leaf Version
5th Edition
ISBN: 9781305631540
Author: WINSTON, Wayne L.; Albright, S. Christian
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter 5, Problem 87P
Summary Introduction
To determine: The decisions and constraints of the large logistics problem.
Introduction: In linear programming, unbounded solution would occur when the objective function is infinite. If no solution satisfied the constraints then it is said to be unfeasible solution.
Expert Solution & Answer
![Check Mark](/static/check-mark.png)
Want to see the full answer?
Check out a sample textbook solution![Blurred answer](/static/blurred-answer.jpg)
Students have asked these similar questions
given the transportation problem, assume that the demands at the 4 destinations are 5, 5, 7, and 8 units, respectively, and the supplies at the 4 sources are 7, 3, 7 and 8 units, respectively.C₁₁=7ㅤ C₁₂=9ㅤ C₁₃ = 1ㅤ C₁₄ = 10
C₂₁= 22ㅤ C₂₂ = 25ㅤ C₂₃ = 16ㅤ C₂₄ = 26
С₃₁ = 28ㅤ C₃₂ = 32ㅤ C₃₃ = 24ㅤ Сз₄ = 32
C₄₁ = 12ㅤ C₄₂ = 14ㅤ C₄з = 6ㅤ C₄₄ = 16where m=4, n=4what is the optimal solution using vogel's approximation method, least-cost method, and northwest-corner rule?
Trips Logistics, a third-party logistics firm that provides warehousing and other logistics services, is facing a decision regarding the amount of space to lease for the upcoming three-year period. The general manager has forecast that Trips Logistics will need to handle a demand of 100,000 units for each of the next three years. Historically, Trips Logistics has required 1,000 square feet of warehouse space for every 1,000 units of demand. For the purposes of this discussion, the only cost Trips Logistics faces is the cost for the warehouse. Trips Logistics receives revenue of $1.22 for each unit of demand. The general manager must decide whether to sign a three-year lease or obtain warehousing space on the spot market each year. The three-year lease will cost $1 per square foot per year, and the spot market rate is expected to be $1.20 per square foot per year for each of the three years. Trips Logistics has a discount rate of k = 0.1.
The following table presents cost, capacity, and demand data for a transportation problem in Stephanie Robbin’s furniture company. Set up the appropriate transportation table and find the optimal solution using Excel's solver.
From/To
1
2
3
Supply
A
30
10
5
20
B
10
10
10
30
C
20
10
25
75
Demand
40
60
55
a. Is the problem balanced? [ Select ] ["Yes", "it is balanced", "No", "cannot determine"] , If not, where? [ Select ] ["Neither", "Supply", "Demand"] , and by how much? [ Select ] ["0", "40", "30", "25"]
b. What is the optimal cost? $ [ Select ] ["2,500", "1,100", "1,275", "1,300"]
c. Were you able to meet all demand requirement? [ Select ] ["no", "cannot determine based on the information given", "yes"] If not, which destination (s) was/were not met? [ Select ] ["none, all destinations were met based on supply and demand being equal", "destination 3 by 30 units", "destination 2 by 30 units", "destination 1 by 25 units…
Chapter 5 Solutions
Practical Management Science, Loose-leaf Version
Ch. 5.2 - Prob. 1PCh. 5.2 - Prob. 2PCh. 5.2 - Prob. 3PCh. 5.2 - Prob. 4PCh. 5.2 - Prob. 5PCh. 5.2 - Prob. 6PCh. 5.2 - Prob. 7PCh. 5.2 - Prob. 8PCh. 5.2 - Prob. 9PCh. 5.3 - Prob. 10P
Ch. 5.3 - Prob. 11PCh. 5.3 - Prob. 12PCh. 5.3 - Prob. 13PCh. 5.3 - Prob. 14PCh. 5.3 - Prob. 15PCh. 5.3 - Prob. 16PCh. 5.3 - Prob. 17PCh. 5.3 - Prob. 18PCh. 5.4 - Prob. 19PCh. 5.4 - Prob. 20PCh. 5.4 - Prob. 21PCh. 5.4 - Prob. 22PCh. 5.4 - Prob. 23PCh. 5.4 - Prob. 24PCh. 5.4 - Prob. 25PCh. 5.4 - Prob. 26PCh. 5.4 - Prob. 27PCh. 5.4 - Prob. 28PCh. 5.4 - Prob. 29PCh. 5.5 - Prob. 30PCh. 5.5 - Prob. 31PCh. 5.5 - Prob. 32PCh. 5.5 - Prob. 33PCh. 5.5 - Prob. 34PCh. 5.5 - Prob. 35PCh. 5.5 - Prob. 36PCh. 5.5 - Prob. 37PCh. 5.5 - Prob. 38PCh. 5 - Prob. 42PCh. 5 - Prob. 43PCh. 5 - Prob. 44PCh. 5 - Prob. 45PCh. 5 - Prob. 46PCh. 5 - Prob. 47PCh. 5 - Prob. 48PCh. 5 - Prob. 49PCh. 5 - Prob. 50PCh. 5 - Prob. 51PCh. 5 - Prob. 52PCh. 5 - Prob. 53PCh. 5 - Prob. 54PCh. 5 - Prob. 55PCh. 5 - Prob. 56PCh. 5 - Prob. 57PCh. 5 - Prob. 58PCh. 5 - Prob. 59PCh. 5 - Prob. 60PCh. 5 - Prob. 61PCh. 5 - Prob. 62PCh. 5 - Prob. 63PCh. 5 - Prob. 64PCh. 5 - Prob. 65PCh. 5 - Prob. 66PCh. 5 - Prob. 67PCh. 5 - Prob. 68PCh. 5 - Prob. 69PCh. 5 - Prob. 70PCh. 5 - Prob. 71PCh. 5 - Prob. 72PCh. 5 - Prob. 73PCh. 5 - Prob. 74PCh. 5 - Prob. 75PCh. 5 - Prob. 76PCh. 5 - Prob. 77PCh. 5 - Prob. 80PCh. 5 - Prob. 81PCh. 5 - Prob. 82PCh. 5 - Prob. 83PCh. 5 - Prob. 85PCh. 5 - Prob. 86PCh. 5 - Prob. 87PCh. 5 - Prob. 2C
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
- State in which decision environment is linear programming most suited .arrow_forwardShe must travel to Kenya to check on quality and transportation. The trip will cost $2,500. The cost of the handbag is $10 and shipping to the United States can occur through the postal system for $2 per handbag or through a freight company which will ship a container that can hold up to 1,000 handbags at a cost of $1,000. The freight company charges $1,000 even if less than 1,000 handbags are shipped. Leslie will sell the handbags to retailers for $20. Assume there are no other costs and benefits. what is the output level that both shipping methods yield same profit? Hoarrow_forwardCargo Loading. You are in charge of loading cargo ships for International Cargo Company (ICC) at a major East Coast port. You have been asked to prepare a loading plan for an ICC freighter bound for Africa. An agricultural commodities dealer would like to transport the following products aboard this ship:Commodity Tons Available Volume per Ton (cu.ft.) Profit per Ton ($)1 4,000 40 702 3,000 25 503 2,000 60 604 1,000 50 80You can elect to load any or all of the available commodities. However, the ship has three cargo holds with the following capacity restrictions: Cargo Hold Weight Capacity (tons) Volume Capacity (cu.ft.)Forward 3,000 100,000Center 5,000 150,000Rear 2,000 120,000More than one type of commodity can be placed in the same cargo hold. However, because of balance considerations, the weight in the forward cargo hold must be within 10 percent of the weight in the rear cargo hold, and the center cargo hold…arrow_forward
- Cargo Loading. You are in charge of loading cargo ships for International Cargo Company (ICC) at a major East Coast port. You have been asked to prepare a loading plan for an ICC freighter bound for Africa. An agricultural commodities dealer would like to transport the following products aboard this ship:Commodity Tons Available Volume per Ton (cu.ft.) Profit per Ton ($)1 4,000 40 702 3,000 25 503 2,000 60 604 1,000 50 80You can elect to load any or all of the available commodities. However, the ship has three cargo holds with the following capacity restrictions: Cargo Hold Weight Capacity (tons) Volume Capacity (cu.ft.)Forward 3,000 100,000Center 5,000 150,000Rear 2,000 120,000More than one type of commodity can be placed in the same cargo hold. However, because of balance considerations, the weight in the forward cargo hold must be within 10 percent of the weight in the rear cargo hold, and the center cargo hold…arrow_forwardExplain how to determine the number of variables and constraints that would be in a transportation problem simplyby knowing the number of sources and the number of destinations.arrow_forwardMANAGEMENT PROBLEM 2: Eat-Lite is a small chain of health-food stores on the East Coast. The company has grown rapidly and is now investigating the possibility of developing an information system to help control its operations. Wendy Schwartz, the firm's founder, described the reasons. "We need to get better reports back on our sales, and we have to replenish the stores faster from our suppliers. We are out of stock too many times." "I have used e-mail myself, and I think it could help us communi- cate with the local store managers-you know-make the company seem a little more personal. We could also handle sales promotions and new-product introduction using it. I also think we have to consider the Internet as a way to reach stores and customers." Wendy talked to a number of consultants, each of whom had dif- ferent recommendations for systems and equipment. The consultant that she liked the best wanted to first decide on the architecture: Should Eat- Lite try PCs in the store and a…arrow_forward
- 4. Companies A, B, and C supply components to three plants (F, G, and H) via two crossdocking facilities (D and E). It costs $4 to ship from D regardless of final destination and $3 to ship to E regardless of supplier. Shipping to D from A, B, and C costs $3, $4, and $5, respectively, and shipping from E to F, G, and H costs $10, $9, and $8, respectively. Suppliers A, B, and C can provide 200, 300 and 500 units respectively and plants F, G, and H need 350, 450, and 200 units respectively. Crossdock facilities D and E can handle 600 and 700 units, respectively. Logistics Manager, Aretha Franklin, had previously used "Chain of Fools" as her supply chain consulting company, but now turns to you for some solid advice. Set up the solution in Excel and solve with Solver. What are total costs?arrow_forwardYou are the manager of GearNet and must decide how many Internet hubs to produce to maximize your firm’s profit. GearNet and its only rival (NetWorks) sell dual-speed Internet hubs that are identical from consumers’ perspectives. The market price for hubs depends on the total quantity produced by the two firms. A survey reveals that the market price of the hubs depends on total market output as follows: Combined Hub Production of GearNet and NetWorks Market Price of Hubs (per unit) 500 units $120 750 units $100 1,000 units $90 GearNet and NetWorks each use labor, materials, and machines to produce output. GearNet purchases labor and materials on an as-needed basis; its machines were purchased three years ago and are being depreciated according to the straight-line method. GearNet’s accounting department has provided the following data about its unit production costs: Item GearNet’s Unit Cost for an Output of: 250 units…arrow_forwardQuantum Ltd. (QL) was created by a group of university students who completed film school and wanted to create feature films using Canadian locations and Canadian film crews. QL’s management team knows that there may be difficulties working in some locations due to terrain, weather, and availability of personnel trained to work in the film industry. As a result, QL is going to set up training programs to allow interested Canadians to take unpaid internships to shadow QL’s film crews and learn the trade so on a future film individuals can obtain paid positions. QL believes this will also give it an advantage in the film industry, as it will be creating an effective and efficient film-making team. QL’s office staff is working to prepare a film schedule including film topics, locations, and available film workers. QL feels it can pay competitive salaries to qualified personnel working on its films. The average feature film takes 90 days to complete, from storyboard creation to the final…arrow_forward
- A shipper has three options to send an expensive cargo worth $35,000 across the pacific and the holding cost for the same is $730 per year. Firstly, opting for a slow cargo ship with a freight cost of $50 will take 2 months. Secondly, choose to send it via a fast ship but the freight cost gone up to $100 and the cargo delivered within a month. Lastly, the shipper can opt for the air transit for $150 and get it delivered within a week. Given this situation, which option the shipper should choose to opt for?arrow_forwardWith the rise of e-commerce and m-commerce, this conflict is likely to continue, as more and more companies are finding ways of making their products accessible online and on mobile apps. How insurance companies can manage this conflict? What startegies they should have, except One strategy to manage this conflict is to follow in Allstate’s footsteps by pairing local agents with each online transaction (Stackpole, 2001). Even if the agent’s interaction in the process is minimal, they are still afforded the commission (Stackpole, 2001). This strategy is a win-win situation: customers have the option of purchasing insurance online and enjoying the ease with which that can occur while insurance agents will still receive their commission. Another strategy to manage this conflict could be to use exclusive offerings. Kawasaki chose to sell only accessories on its website, so as not to impede business at its retailers (Stackpole, 2001). Insurance companies could employ a similar strategy by…arrow_forwardThe Fish House (TFH) in Norfolk, Virginia, sells fresh fish and seafood. TFH receives daily shipments of farm-raised trout from a nearby supplier. Each trout costs $2.45 and is sold for $3.95. To maintain its reputation for freshness, at the end of the day TFH sells any leftover trout to a local pet food manufacturer for $1.25 each. The owner of TFH wants to determine how many trout to order each day. Historically, the daily demand for trout is: Demand 10 11 12 13 14 15 16 17 18 19 20 Probability 0.02 0.06 0.09 0.11 0.13 0.15 0.18 0.11 0.07 0.05 0.03 a. Construct a payoff matrix for this problem. b. How much should the owner of TFH be willing to pay to obtain a demand forecast that is 100% accurate? give a clear explanation for (b)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,
![Text book image](https://www.bartleby.com/isbn_cover_images/9781337406659/9781337406659_smallCoverImage.gif)
Practical Management Science
Operations Management
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:Cengage,