Dear Rayapati

Linear Programming is not related statistics, and it is used in hundreds of applications, not only in farming systems

It is known that the linear programming model deals with various types of problems and one of its uses is to determine the optimal marketing mix

It is known that agricultural products need a specific amount of fertilizers and formulations, so the linear programming model seeks to meet the needs of agricultural products at the lowest possible costs.

Linear programming is a mathematical optimization technique that can be used to optimize Integrated Farming Systems (IFS) by maximizing profits or minimizing costs. Here are the steps to do optimization using linear programming in IFS:

Once the optimal values for the decision variables are obtained, they can be used to guide decision-making in IFS, such as choosing the best crop and livestock mix, determining optimal use of resources, and ensuring sustainable production practices. The linear programming model can be updated periodically to reflect changes in the system or new constraints, allowing for continuous optimization of IFS.

Perhaps, this recent post, and specifically the paper cited therein, might help you

to answer your question:

"optimization using linear programming in Integrated Farming Systems?"

- good luck

https://www.researchgate.net/post/What_are_the_best_strategies_for_reducing_food_waste_in_the_agricultural_supply_chain

Dear Reza

In your point 1, not everything is profit or cost. You can minimize water consumption as well of fertilizers or maximize land use.

In your point 4 you should say 'mathematical inequations' not 'equations'.

This is where the strength of LP lies