A Railroad Needs to Move the Maximum Amount of Material

question 2

Essay

A railroad needs to move the maximum amount of material through its rail network. Formulate the LP model to determine this maximum amount based on the following network diagram.

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Definitions:

Double-subscripted Variables

Variables identified by two subscripts, commonly used in mathematical and scientific contexts to denote elements in matrices, tables, or double-entry arrays.

Capacity Constraint

A limitation on the resources available for production, such as time, labor, or materials, which can affect the maximum output levels.

Double-subscripted Variables

Variables in mathematical modeling that are indexed by two sets, often used to represent the elements in a matrix or a two-dimensional array.

Capacity Constraint

A limitation or restriction on the maximum level of output that a system or process can handle.