Consider the following flow network.S6,6V110,17,4V27,76,03,3V35,2V48,5t(a) Check it is a proper flow, by confirming that the flow out of each internal vertex (v₁, . . ., V₁)equals the flow in.(b) Find an augmenting path(c) State which edges, on your path, have minimum and maximum flow-capacity.(d) Augment the flow.(e) Run the algorithm one more time to find the min-cut, and check that the flow across thecut equals the capacity.

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Answered: Consider the following flow network. S…

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter2: Systems Of Linear Equations

Section2.4: Applications

Problem 16EQ

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Use a software program or a graphing utility to write v as a linear combination of u1, u2, u3, u4, u5 and u6. Then verify your solution. v=(10,30,13,14,7,27) u1=(1,2,3,4,1,2) u2=(1,2,1,1,2,1) u3=(0,2,1,2,1,1) u4=(1,0,3,4,1,2) u5=(1,2,1,1,2,3) u6=(3,2,1,2,3,0)
Redo Exercise 5, assuming that the house blend contains 300 grams of Colombian beans, 50 grams of Kenyan beans, and 150 grams of French roast beans and the gourmet blend contains 100 grams of Colombian beans, 350 grams of Kenyan beans, and 50 grams of French roast beans. This time the merchant has on hand 30 kilograms of Colombian beans, 15 kilograms of Kenyan beans, and 15 kilograms of French roast beans. Suppose one bag of the house blend produces a profit of $0.50, one bag of the special blend produces a profit of $1.50, and one bag of the gourmet blend produces a profit of $2.00. How many bags of each type should the merchant prepare if he wants to use up all of the beans and maximize his profit? What is the maximum profit?
The figure shows a directed graph of trafic with cars/hour. Calculate the flow of the network. How many cars can possible pass from A to B per hour?
Find the general flow pattern of the network shown in the figure. Assuming that the flows are all nonnegative, what is the largest possible value for x3? O A. = X₁ X₂ is free X3 is free X4 is free O B. X1 10 = 60 A Find the general flow pattern of the network shown in the figure. Choose the correct answer below and fill in the answer boxes to complete your choice. x₂ = X3 is free X4 X1 C x3 x2 B X4 O C. X₁ is free Х1 x₂ = X3 is free X4 = O D. x₁ = X₂ X3 1 = || = =
Find the general flow pattern of network shown in figure. Assuming that all flows are non-negative, what is largest possible value for x3. where n=9.
Find the general flow pattern of the network shown in the figure. Assuming that the flows are all nonnegative, what is the largest possible value for x3? OA. Find the general flow pattern of the network shown in the figure. Choose the correct answer below and fill in the answer boxes to complete your choice. TEA X2 = X3 is free X4 = OB. 20- X₁ = X1 is free X3 is free X4 is free 60- OC. X1 is free X3 is free X₁ = X2 = X3 = X4 11
The picture attached represents the traffic entering and leaving a "roundabout" road junction. Such junctions are very common in Europe. Construct a system of equations that describes the flow of traffic along the various branches. What is the minimum flow possible along the branch BC? What are the other flows at that time? (units are vehicles per hour.)
2. The figure below represents the traffic entering and leaving a roundabout road junction in Continental Europe. Such roundabouts ensure the continuous smooth flow of traffic at road junctions. Construct a system of linear equations describing the flow of traffic along the various branches. Use these equations to determine the minimum flow possible along xị. What are the other flows at this time? Explain what happens to x7 traffic. It is not necessary to compute the reduced echelon form. Use the fact the traffic flow can't be negative. The traffic is measured in vehicles per hour (vph). 90 A 100 X3 X2 X1 155 130 120 110 X6 X7 X5 80 75
1. Find the general flow pattern of the network shown in figure
a. Find the general flow pattern of the network shown in the figure. b. Assuming that the flow must be in the directions indicated, find the minimum flows in the branches denoted by X₂, X3, X4, and X5. a. Choose the correct answer below and fill in the answer boxes to complete your choice. O A. x₁ = x2 = X3 is free X4= X5= X6 is free me solve this O B. x₁ = X₂ is free X3 is free X4 is free X5 is free X6 = View an example Get more help. C O C. x₁ = X2 X₂ is free x3 = X4 is free X5 is free X6 = O D. x₁ is free X2 x2 = X3 = X4= X5 = X6 = Clear all 704 60 20 A E 20 40 A X5 C Ax6 X4D 60 80 90 Check answer
a. Find the general flow pattern of the network shown in the figure. b. Assuming that the flow must be in the directions indicated, find the minimum flows in the branches denoted by x2. Xg. 604 X4, and Xg. a. Choose the correct answer below and fill in the answer boxes to complete your cholce. O A. Oc. OD. X, is free X2 is free X2 is free Xg is free X2 X4 is free X3 is free Xe is free Xg is free Xg is free Xs is free

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