I'm studying a few example cases of LP from my book to practice but I am having a lot of difficulties when it comes to formulating the constraints for my model.
I have particular problems with two constraints in the example I am at at the moment. (Maximization problem with 2 variables, in case it's relevant)
"There must be at least 10 units of each product"
"The amount of product X must be at least as high as the amount of product Y"
So for the first one, I know that I could easily just make 2 separate constraints, where
X >= 10
and another one where
Y >= 10
but I was wondering if there was a better way to do it, so as to merge both of them into one single constraint?
For the second one, I formulated
X - Y >= 0
but I'm not sure if my logic is correct there, and I was avoiding using
X >= Y since I don't like the idea of having a constraint that isn't crystal clear (I don't know how much
Y will be, so to me it seems like an unreliable way to formulate it)