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A manufacturing company has a small production line dedicated to making a particular product. The line has four stations in serial. Inputs arrive at station $1$ and the output from station $1$ becomes the input to station $2.$ The output from station $2$ is the input to station $3$ and so on$.$ The output from station $4$ is the finished product. Station $1$ can process $2,300$ units per month, station $2$ can process $2,400/$month$,$ station $3$ can process $2,500/$month$,$ and station $4$ can process $2,700/$month$.$

a$.$ What station sets the maximum possible output from this system?

multiple choice

Station $4$

Station $2$

Station $3$

Station $1$

b$.$ What is that maximum output number?