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"$$\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\left(\\begin{array}{r|rrrrr|r}\n", "{Basic} & {x}_{1} & {x}_{2} & {\\color{green}{s}}_{1} & {\\color{green}{s}}_{2} & {\\color{green}{s}}_{3} & {b} \\\\\n", "\\hline\n", " {x}_{2} & 0 & 1 & 0 & 0 & 1 & 10000 \\\\\n", "{x}_{1} & 1 & 0 & 50 & 0 & -\\frac{5}{8} & 2250 \\\\\n", "{\\color{green}{s}}_{2} & 0 & 0 & -50 & 1 & \\frac{5}{8} & 4750 \\\\\n", "\\hline\n", " {Z_{ind}} & 0 & 0 & -1500 & 0 & -\\frac{5}{4} & 267500\n", "\\end{array}\\right)$$" ], "text/plain": [ "[ B| x1 x2 s1 s2 s3| rhs]\n", "[------+----------------------------------+------]\n", "[ x2| 0 1 0 0 1| 10000]\n", "[ x1| 1 0 50 0 -5/8| 2250]\n", "[ s2| 0 0 -50 1 5/8| 4750]\n", "[------+----------------------------------+------]\n", "[ Z| 0 0 -1500 0 -5/4|267500]" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "El problema es óptimo\n" ] } ], "source": [ "tipo='max' # max o min\n", "\n", "n=2 # número de variables x's\n", "m=3 # número de restricciones (distintas de las de signo)\n", "\n", "c=matrix(QQ,1,n,[30,20] ) # vector de costos\n", "\n", "A=matrix(QQ,m,n,[ # coeficientes de las variables x's\n", "[1/50,1/80],\n", "[1,0],\n", "[0,1]\n", "])\n", "\n", "b=matrix(QQ,m,1,[170,7000,10000]) # vector de la derecha\n", "\n", "\n", "######################################################\n", "############### VARIABLES DE HOLGURA ################\n", "\n", "\n", "h=matrix(ZZ,1,m,[1,1,1]) # 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", "\n", "\n", "\n", "####################################################################\n", "############ HASTA AQUÍ LOS DATOS ################################\n", "####################################################################\n", "\n", "load('https://sage.unex.es/501708/simplex2023Auto.sage')\n", "#load('https://sage.unex.es/501708/SAGE/simplex2023AutoREVISED.sage')\n", "\n" ] }, { 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