A delivery company needs to optimize theflow of packages from the distributioncenter (source) to various destinationpoints (sinks) through a network of routes.Each route has a different capacity basedon the distance from the distributioncenter.Use the maximum flow method todetermine the most efficient flow patternthat maximizes the number of packagesdelivered from the source to the sinks.Given that the are capacity from node i tonode j is the number nearest node i alongthe are between these nodes. Show yourwork FSource3457FSink

One possible augmenting path is S-1-3-T.Step 1: Determine the bottleneck capacity along the path. In…

Answered: A delivery company needs to optimize…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

Section: Chapter Questions

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

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Suppose there is a transportation model with 4 factories and 6 warehouses. In order to develop an initial solution using the intuitive lowest cost method, do we have to add one or more dummy sources in the transportation matrix, and why?
(b)Consider a transportation model with m sources and n destinations. Describe briefly how you can resolve the following situations while solving the problem: (i) Total supply is greater than total demand,
Machine Supply Co. plans to open a new branch in Houston, TX to provide local support to its customers in the area. The company currently considers two locations (small and large) for its new branch. While the small location can store up to 500 units of product, the large one can store up to 1200 units (more than these amounts cannot be stored at any time). However, the large location costs an additional $1000 per month to rent compared to the small location. Transportation companies charge different amounts for small and large locations as provided in the table below. The expected demand in the greater Houston area is 52000 units and each unit costs $300. The inventory holding rate per year is 24%. Given the below information about two locations and transportation company. Which branch location should be chosen by Machine Supply CO.? NOTE: It is expected that the average inventory level in Memphis, TN (the source facility) will not be affected by these decisions. If you need any…
The Hills County, Michigan, superintendent of education is responsible for assigning students to the three high schools in his county. He recognizes the need to bus a certain number of students, for several sectors, A - E, of the county are beyond walking distance to a school. The superintendent partitions the county into five geographic sectors as he attempts to establish a plan that will minimize the total number of student miles traveled by bus. He also recognizes that if a student happens to live in a certain sector and is assigned to the high school in that sector, there is no need to bus him because he can walk to school. The three schools are located in sectors B, C, and E. The accompanying table reflects the number of high-school-age students living in each sector and the distance in miles from each sector to each school: Distance to School Sector School in Sector School in Sector School in Sector B C E A B C D E Total 7 0 4 5 12 5 4 0 4 7 6 12 7 7 0 Number of Students 700 500…
Machine Supply Co. plans to open a new branch in Houston, TX to provide local support to its customers in the area. The company currently considers two locations (small and large) for its new branch. While the small location can store up to 500 units of product, the large one can store up to 1200 units (more than these amounts cannot be stored at any time). However, the large location costs an additional $1000 per month to rent compared to the small location. Transportation companies charge different amounts for small and large locations as provided in the table below. The expected demand in the greater Houston area is 52000 units and each unit costs $300. The inventory holding rate per year is 24%. Given the below information about two locations and transportation company. Which branch location should be chosen by Machine Supply CO.? NOTE: It is expected that the average inventory level in Memphis, TN (the source facility) will not be affected by these decisions. If you need any…
The starting node of the shortest path problem has a supply out flow value of -1 in the LP model. True False (Don't hand writing solution)
Continuing the previous problem, suppose again thatall arcs go in both directions, but suppose Maude’sobjective is to find the shortest path from node 1 tonode 7 (not node 10). Modify the spreadsheet modelappropriately and solve.
In the original RedBrand problem, suppose the plantscannot ship to each other and the customers cannotship to each other. Modify the model appropriatelyand reoptimize. How much does the total cost increasebecause of these disallowed routes?
what is a conitnues location problem in supply chain? how can we solve it? what are the givens and what is the output? briefly give a way to solve a continues location problem
Please Solve BRIEFLY like in the exam.
The following network describes a transportation scenario in which there are four sources A, B, C, and D, and three destinations P, Q, and R. (The numbers next to each arrow represent the cost of transporting one unit from that particular source to the destination located at the other end of that arrow). Write the mathematical formulation of the problem. Use the Excel Solver to solve the problem. Generate the answer and sensitivity reports in Excel, and submit your Excel workbook as a separate attachment. Provide the solution obtained in the space provided. What is the optimal cost of transportation?
Please refer to the attached file:

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