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:

Oligopoly

A market structure characterized by a small number of firms dominating the market, leading to limited competition and higher prices for consumers.

High Barriers

Obstacles that make it difficult for new entrants to enter a market, including high starting costs, stringent regulations, or strong competition.

Differentiated Products

Goods or services that are distinguished from others by quality, branding, or other features, leading to non-price competition among firms.

Collude

When two or more firms work together to set prices, limit supply, or engage in other practices to restrict competition and manipulate market outcomes.