diff --git a/sajat_gyakorlasok/Mintavizsga/elsofeladat.mod b/sajat_gyakorlasok/Mintavizsga/elsofeladat.mod
new file mode 100644
index 0000000..8e9cf88
--- /dev/null
+++ b/sajat_gyakorlasok/Mintavizsga/elsofeladat.mod
@@ -0,0 +1,29 @@
+#	1. feladat:
+
+var Kolozsvar_Budapest >= 0 integer;
+var Kolozsvar_Gyor >= 0 integer;
+var Kolozsvar_Szeged >= 0 integer;
+
+var Marosvasarhely_Budapest >= 0 integer;
+var Marosvasarhely_Gyor >= 0 integer;
+var Marosvasarhely_Szeged >= 0 integer;
+
+var Temesvar_Budapest >= 0 integer;
+var Temesvar_Gyor >= 0 integer;
+var Temesvar_Szeged >= 0 integer;
+
+s.t. kolozsvarkapacitas: Kolozsvar_Budapest + Kolozsvar_Gyor + Kolozsvar_Szeged = 1000;
+s.t. maroskapacitas: Marosvasarhely_Budapest + Marosvasarhely_Gyor + Marosvasarhely_Szeged = 850;
+s.t. temeskapacitas: Temesvar_Budapest + Temesvar_Gyor + Temesvar_Szeged = 1350;
+
+s.t. pestigeny: Kolozsvar_Budapest + Marosvasarhely_Budapest + Temesvar_Budapest = 1100;
+s.t. gyorigeny: Kolozsvar_Gyor + Marosvasarhely_Gyor + Temesvar_Gyor = 800;
+s.t. szegedigeny: Kolozsvar_Szeged + Marosvasarhely_Szeged + Temesvar_Szeged = 1300;
+
+s.t. bunteteshatar: Kolozsvar_Gyor <= 100;
+
+minimize koltseg: Kolozsvar_Budapest * 10 + Kolozsvar_Gyor * 12 + Kolozsvar_Szeged * 5 +
+		Marosvasarhely_Budapest * 16 + Marosvasarhely_Gyor * 10 + Marosvasarhely_Szeged * 9 + 
+		Temesvar_Budapest * 14 + Temesvar_Gyor * 18 + Temesvar_Szeged * 20;
+
+end;
\ No newline at end of file
diff --git a/sajat_gyakorlasok/Mintavizsga/elsofeladat.out b/sajat_gyakorlasok/Mintavizsga/elsofeladat.out
new file mode 100644
index 0000000..8da05e9
--- /dev/null
+++ b/sajat_gyakorlasok/Mintavizsga/elsofeladat.out
@@ -0,0 +1,52 @@
+Problem:    elsofeladat
+Rows:       8
+Columns:    9 (9 integer, 0 binary)
+Non-zeros:  28
+Status:     INTEGER OPTIMAL
+Objective:  szallitas = 33100 (MINimum)
+
+   No.   Row name        Activity     Lower bound   Upper bound
+------ ------------    ------------- ------------- -------------
+     1 Kolozsvar                1000          1000             = 
+     2 Marosvasarhely
+                                 850           850             = 
+     3 Temesvar                 1350          1350             = 
+     4 Budapest                 1100          1100             = 
+     5 Gyor                      800           800             = 
+     6 Szeged                   1300          1300             = 
+     7 Kolozsvar_Gyor_utvonal
+                                   0                         100 
+     8 szallitas               33100                             
+
+   No. Column name       Activity     Lower bound   Upper bound
+------ ------------    ------------- ------------- -------------
+     1 Kolozsvar_Budapest
+                    *              0             0               
+     2 Kolozsvar_Gyor
+                    *              0             0               
+     3 Kolozsvar_Szeged
+                    *           1000             0               
+     4 Marosvasarhely_Budapest
+                    *              0             0               
+     5 Marosvasarhely_Gyor
+                    *            550             0               
+     6 Marosvasarhely_Szeged
+                    *            300             0               
+     7 Temesvar_Budapest
+                    *           1100             0               
+     8 Temesvar_Gyor
+                    *            250             0               
+     9 Temesvar_Szeged
+                    *              0             0               
+
+Integer feasibility conditions:
+
+KKT.PE: max.abs.err = 0.00e+00 on row 0
+        max.rel.err = 0.00e+00 on row 0
+        High quality
+
+KKT.PB: max.abs.err = 0.00e+00 on row 0
+        max.rel.err = 0.00e+00 on row 0
+        High quality
+
+End of output