From 7dbf34cb0119dd9859cfeeec467d4f9366617975 Mon Sep 17 00:00:00 2001
From: Zoey Zheng <Zhengyizhe0209@163.com>
Date: Mon, 18 May 2026 22:05:25 +1000
Subject: [PATCH] Clarify scipy linprog transformation description

Clarifies that SciPy transforms the problem into standard form internally after presolve.
---
 lectures/lp_intro.md | 4 ++--
 1 file changed, 2 insertions(+), 2 deletions(-)

diff --git a/lectures/lp_intro.md b/lectures/lp_intro.md
index 52504a5a..8fe94c98 100644
--- a/lectures/lp_intro.md
+++ b/lectures/lp_intro.md
@@ -487,9 +487,9 @@ The optimal plan tells the  factory to produce $2.5$ units of Product 1 and $5$
 
 We are using the `linprog` function as a *black box*.
 
-Inside it, Python first  transforms the problem into  standard form.
+Internally, after a presolve step, SciPy transforms the problem into a standard form before applying the selected solver.
 
-To do that, for each inequality constraint it generates one slack variable.
+In this transformation, one slack variable is added for each inequality constraint.
 
 Here the vector of slack variables is a two-dimensional NumPy array that  equals $b_{ub} - A_{ub}x$.