I am trying to find some real life ("non trivial") examples of Linear Programming.
So far, most of the examples that I come across are from introductory textbooks involving some basic example about farmers choosing between different crops to grow based on expected harvest and market price; or some similar example of a factory in which two different machines manufacture different types of items at different speeds, and again based on expected consumer demand, the manager at the factory is expected to decide how much of each machine's workload should be assigned to which type of item. Sometimes, there might be some constraints that need to be taken into consideration. Generally, these problems I come across can be solved using algebraic manipulation or through linear programming.
I posted an example of one of these problems below:
Although these types of problems are great examples to familiarize one's self with Linear Programming, the context of these problems generally appear as "too simple", and instantly one begins to think that these are big oversimplifications of real world problems and such oversimplified problems do not fully represent the complexities that are usually encountered in the real world. I am trying to look for some examples of Linear Programming problems in more realistic situations.
We are usually told that the real world is often characterized by non-linear relationships; apart from a stepping stone to learn about optimization and more complicated concepts, are there still instances in which pure Linear Programming problems still arise in the real world?
Can someone please suggest some more realistic examples of (purely) Linear Programming problems that arise in the real world?