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\\\\\n", "{\\color{red}{t}}_{3} & 2 & 0 & 0 & 2 & 3 & 0 & 0 & 1 & 0 & 7 \\\\\n", "{\\color{red}{t}}_{4} & 6 & -3 & 1 & 5 & 6 & 0 & 0 & 0 & 1 & 15 \\\\\n", "\\hline\n", " {W_{ind}} & -12 & 6 & -2 & -10 & -12 & 0 & 0 & 0 & 0 & 30\n", "\\end{array}\\right)$$" ], "text/plain": [ "[ B| x1 x2 x3 x4 x5 t1 t2 t3 t4|rhs]\n", "[---+-----------------------------------+---]\n", "[ t1| 1 -4 2 1 2 1 0 0 0| 2]\n", "[ t2| 3 1 -1 2 1 0 1 0 0| 6]\n", "[ t3| 2 0 0 2 3 0 0 1 0| 7]\n", "[ t4| 6 -3 1 5 6 0 0 0 1| 15]\n", "[---+-----------------------------------+---]\n", "[ W|-12 6 -2 -10 -12 0 0 0 0| 30]" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "tipo ='max' # Problema de tipo max o min\n", "\n", "n=5 # número de variables x's\n", "m=4 # número de restricciones (distintas de las de signo)\n", "\n", "c=matrix(QQ,1,n,[3,-2,1,2,3] ) # vector de costos\n", "\n", "A=matrix(QQ,m,n,[ # coeficientes de las variables x's\n", "[1,-4,2,1,2],\n", "[3,1,-1,2,1],\n", "[2,0,0,2,3],\n", "[6,-3,1,5,6]\n", "])\n", "\n", "b=matrix(QQ,m,1,[2,6,7,15]) # vector de la derecha\n", "\n", "\n", "h=matrix(ZZ,1,m,[0,0,0,0]) # variables de holgura: \n", " # Pon 1 si va sumando, \n", " # -1 si va restando y \n", " # 0 si no hay variable de holgura.\n", " \n", "t=matrix(ZZ,1,m,[1,1,1,1]) # variables artificiales: \n", " # pon 1 si utilizas variable artificial en la fila i-ésima\n", " # 0 si no utilizas variable artificial en la fila i-ésima\n", "\n", "colId=(6,7,8,9) # posición de la matriz identidad\n", "\n", "\n", " \n", " \n", "####################################################################\n", "############ HASTA AQUÍ LOS DATOS ################################\n", "####################################################################\n", "\n", "\n", "\n", "\n", "load('https://sage.unex.es/501708/simplex2023CompletamenteManual.sage')" ] }, { "cell_type": "code", "execution_count": 30, "id": "f5e4b055", "metadata": {}, "outputs": [ { "data": { "text/html": [ " 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