Given: A highway network with route capacities $($vehicles$/$hr$)$ is illustrated in the figure below.

Find: Maximum traffic flow $($veh$\_($hr$.)$ through the network for vehicles entering node $1$ and exiting node $6.$

Formulate the following elements of a linear program using general mathematical expressions for:

a$.$ texistion variables $(5).$

b$.$ Objective function $(5),$ and

c$.$ constraints $(5).$

Formulate the problem and solve using MS fixed Solver. Provide screen shots of your model including decision veriables, objective function, constraints, and solution. $(10)$

Problem $3(25)$

I

Given: A lighwaw,