Any linear programming problem can be rewritten as an equivalent linear programming problem with maximize objective function, all $\leq$ constraints and non-negative variables.

Question

Quizplus · Accepted Answer

Every linear programming problem, regardless of its initial form, can be converted into an equivalent problem with a maximization objective, all constraints in the form of $\leq$, and all variables constrained to be non-negative. This is achieved through standard transformations like flipping the direction of inequality for $\geq$ constraints, converting minimization objectives into maximization by multiplying the objective function by -1, and handling variables without non-negativity constraints by representing them as the difference of two non-negative variables.

Any Linear Programming Problem Can Be Rewritten as an Equivalent ≤\leq≤

Any Linear Programming Problem Can Be Rewritten as an Equivalent $\leq$