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a. b. C. Find the general traffic pattern in the freeway network shown in the figure. (Flow rates are in cars/minute.) Describe the general traffic pattern when the road whose flow is x4 is closed. When x4=0, what is the minimum value of x₁? 40 200 XA B X3 D 60 100

a. b. C. Find the general traffic pattern in the freeway network shown in the figure. (Flow rates are in cars/minute.) Describe the general traffic pattern when the road whose flow is x4 is closed. When x4=0, what is the minimum value of x₁? 40 200 XA B X3 D 60 100

Advanced Engineering Mathematics
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. a. Find the general traffic pattern in the freeway network shown in the figure. (Flow rates are in cars/minute.) b. Describe the general traffic pattern when the road whose flow is \( x_4 \) is closed. c. When \( x_4=0 \), what is the minimum value of \( x_1 \)? Diagram Explanation: - The diagram is a flow network with four nodes labeled A, B, C, and D. - Arrows between nodes represent roads with flow rates in cars per minute. - Incoming flow to node B is 200 cars/minute. - Incoming flow to node C is 100 cars/minute. - Incoming flow to node D is 60 cars/minute. - Outgoing flow from node A is 40 cars/minute. - Flows between nodes are labeled as follows: - From A to B: \( x_1 \) - From B to C: \( x_2 \) - From B to D: \( x_3 \) - From A to D: \( x_4 \) - From D to C: \( x_5 \)
Transcribed Image Text:1. a. Find the general traffic pattern in the freeway network shown in the figure. (Flow rates are in cars/minute.) b. Describe the general traffic pattern when the road whose flow is \( x_4 \) is closed. c. When \( x_4=0 \), what is the minimum value of \( x_1 \)? Diagram Explanation: - The diagram is a flow network with four nodes labeled A, B, C, and D. - Arrows between nodes represent roads with flow rates in cars per minute. - Incoming flow to node B is 200 cars/minute. - Incoming flow to node C is 100 cars/minute. - Incoming flow to node D is 60 cars/minute. - Outgoing flow from node A is 40 cars/minute. - Flows between nodes are labeled as follows: - From A to B: \( x_1 \) - From B to C: \( x_2 \) - From B to D: \( x_3 \) - From A to D: \( x_4 \) - From D to C: \( x_5 \)
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