Solve the Problem $x _ { 1 } = 600 + x _ { 5 }$

question 46

Multiple Choice

Solve the problem.
-The network in the figure shows the traffic flow (in vehicles per hour) over several one-way streets in the downtown area of a certain city during a typical lunch time. Determine the general flow
Pattern for the network.
In other words, find the general solution of the system of equations that describes the flow. In your
General solution let x4 be free.

• A) \(x _ { 1 } = 600 + x _ { 5 }\) \(x _ { 2 } = 400 - x _ { 5 }\) \(x _ { 3 } = 300 - x _ { 5 }\) \(x _ { 4 } = 300\) \(x _ { 5 }\) is free
• B) \(x 1 = 600 - x _ { 4 }\) \(x _ { 2 } = 400 - x _ { 4 }\) \(x _ { 3 } = 300 + x _ { 4 }\) \(x _ { 4 }\) is free \(x _ { 5 } = 300\)
• C) \(x _ { 1 } = 600 - x _ { 4 }\) \(x _ { 2 } = 400 + x _ { 4 }\) \(x _ { 3 } = 300 - x _ { 4 }\) \(x _ { 4 }\) is free \(x _ { 5 } = 300\)
• D) \(x _ { 1 } = 500 + x _ { 4 }\) \(x _ { 2 } = 400 - x _ { 4 }\) \(x _ { 3 } = 300 - x _ { 4 }\) \(x _ { 4 }\) is free \(x _ { 5 } = 200\)

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Definitions:

Rat

A small rodent, often used in scientific research, that can be either a wild pest or a domesticated pet.

Punishment

A consequence applied with the intention of reducing or eliminating an unwanted behavior by causing discomfort or taking away a desired stimulus.

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Instructions or principles that direct actions or decisions.

Families

Social units consisting of parents and their children, extended to include other relatives, characterized by shared living arrangements and economic ties.