GTech Eng. Ltd$.$ has won a bid to provide a solution for the heavy equipment and automation system

to transmit oil for a High$-$Price Oil Company which owns a pipeline network used to transmit oil from

its sources to a storage location. The network of oil flow is shown in the following figure:

Due to the varying pipe sizes, the flow capacities also vary. The values indicate the maximum

possible flow in million barrels per day from one place to another. Perform a flow analysis so that

GTech Eng. Ltd$.$ can provide the maximal flow of oil from the source to destination.

Write a report on the maximal flow analysis that includes

development of the flow maximization as a linear programming problem with the objective

function and constraints

solution to the flow maximization problem with detailed calculations

the amount of oil that needs to be transmitted through each pipe with the details of the steps

and calculations

a critical appraisal.

Conclusion:

Conclusion from the case studies with some critical discussions.