Consider the following transshipment network for finding the shortest route from node 1 to node 7.183.36.(a) Formulate a linear programming model of the problem. (Express your answers using x, where each x, is either 0 or 1 for the arcfrom node i to node j.)Mins.t.Node 1 FlowsNode 2 FlowsNode 3 FlowsNode 4 FlowsNode 5 FlowsNode 6 FlowsNode 7 FlowsFor all x; = 0, 1.(b) Find the shortest route from node 1 to node 7 in the network shown. (Enter your answers as a comma-separated list.)path = 1,

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Answered: Consider the following transshipment…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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1. Given the following network with the indicated distances between nodes (in miles), determine the shortest route from node 1 to each of the other six nodes (2, 3, 4, 5, 6, and 7): 10 18 12 30 1 7 17 12 10 15 25 Answer with text and/or attachments: 25 21
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(4) Assume that a website www.funwithmath1600.ag has three pages: Page A: KingAlgebra Page B: Learn1600andWin • Page C: Linear AlgbraIsEverywhere Each page has some links to the other pages of this website and no pages links to any page outside this website. Page A has three links to page B and only one link to page C. • Page B has three links to page A and two links to page C. • Page C has one link to page A and two links to page B. A student decides to explore this website starting from page A. Since reading content is always a boring task (is it?!) they decide to choose one of the links in page A with equal probability and click on the link to see the next page. As a result, on the next step, they will end up on page B with probability 3/4 and on the page C with probability 1/4. This process is then continued by the student with the same rule: Go the next page by clicking, with equal probability, on one of the existing links that are on the present page. (Use only fractions in your…

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Consider the following transshipment network for finding the shortest route from node 1 to node 7. 5 6. 9. 3. 3 18 3 6.