From 906cc4bcaaf278dcbde60bbdee7ad74447541ab1 Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?Fabiana=20=F0=9F=9A=80=20=20Campanari?= <113218619+FabianaCampanari@users.noreply.github.com> Date: Sun, 23 Mar 2025 23:37:19 -0300 Subject: [PATCH] Update README.md MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit Signed-off-by: Fabiana 🚀 Campanari <113218619+FabianaCampanari@users.noreply.github.com> --- README.md | 3 ++- 1 file changed, 2 insertions(+), 1 deletion(-) diff --git a/README.md b/README.md index 308d072..3c15afb 100644 --- a/README.md +++ b/README.md @@ -307,14 +307,15 @@ The **graphical method** for solving simple linear programming (LP) problems inv * **Empty Feasible Region:** If the constraints are inconsistent and there are no points that satisfy all of them simultaneously, the feasible region is empty, and the linear programming problem has no solution [4]. -

## Theorem on Optimal Solutions If the feasible region of a linear programming problem is **non-empty and bounded**, then the objective function attains both a **maximum and a minimum value**, and these occur at **extreme points (vertices)** of the feasible region [5]. +If the feasible region is **unbounded**, and if the objective function attains a maximum or minimum value, it will also occur at an **extreme point (vertex)** [5]. +