The figure at the top of the next column shows four one-way streets with intersections A, B, C, and D. Numbers indicate the average traffic flow in vehicles per minute. The variables x₁, x₂, x₃, and x₄ denote unknown traffic flows.

(a) The number of vehicles per minute entering an intersection equals the number exiting an intersection. Verify that the given system of linear equations describes the traffic flow. 

(b) Write the system as AX = B and solve using A^-1.

(c) Interpret your results.

Transcribed Image Text:

cars/min 5 cars/min 5 cars/ min 6 cars/ min ID X4 X₁ Xz cars/ min B X₂ cars/ min 6 cars/min 7 cars/min