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: Source (1 0 3 5 0 7) Destination 0 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.