You are employed as a network engineer and have been asked to analyze a communication network to determine the current data rates and ensure that the links aren't at risk of "reaching capacity." In the following figure of the network, the sender is transmitting data at a total rate of 100+50 = 150 megabits per second (Mbps). The data is transmitted from the sender to the receiver over a network of five different routers. These routers are labeled A, B, C, D, and E. The connections and data rates between the routers are labeled asx₁, x₂, x₃, x₄, andx₅.

Develop a system of linear equationsfor the network by writing an equation for each router (A, B, C, D, and E). Make sure to submit the final answer asAx=bwhereAis the5x5coefficient matrix,xis thevector of unknowns, andbis avector of constants.

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