Final answer:
In order to find the layout of the work stations, set up a system of equations using the given data on traffic and distance. Solve the system of equations to find the values of A, B, and C. Use the values to determine the layout of the work stations.
Step-by-step explanation:
In order to find the layout of the three work stations, we need to analyze the given data on traffic and distance between the zones.
Let's say the work stations are A, B, and C.
We can set up a system of equations to represent the traffic and distance:
From station A to station B: A + B = 10
From station A to station C: A + C = 12
From station B to station C: B + C = 5
By solving this system of equations, we can find the values of A, B, and C.
Once we have the values, we can determine the layout of the work stations.