Can somebody please explain how we get the Karush Kuhn Tucker conditions, especially the complementary slackness, without using the crutches of jargons? I am not well versed in what dual problems or primal problems would be interpreted as neither do i know or/and understand what duality gap or LP is supposed to even mean. Internet is filled with only jargons but I am just trying to understand how to optimize a function given inequality constraints and I come across KKT and would like to know how they are arrived at. I would be able to understand calculus 1,2,3 and linear algebra
Thank you in advance