Constrained optimization problems are problems for which a function is to be minimized or maximized subject to constraints . ... stands for "maximize subject to constraints ". You say a point satisfies the constraints if is true.

What are constrained optimization methods?

Constrained optimization methods use mathematical techniques to help efficiently and systematically identify the best (optimal) of all possible solutions to a problem while considering the relevant constraints, such as budget limits or staffing capacity.

How is constrained optimization calculated?

The equation g(x,y)=c is called the constraint equation, and we say that x and y are constrained by g(x,y)=c. Points (x,y) which are maxima or minima of f(x,y) with the condition that they satisfy the constraint equation g(x,y)=c are called constrained maximum or constrained minimum points, respectively.