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-85/27 0 -10/9 1 -35/27| 1010/27]\n", "[ x3| 0 14/27 1 -1/9 0 1/27| 164/27]\n", "[--------+-----------------------------------------------------+--------]\n", "[ Z| 0 -700/27 0 -130/9 0 -50/27|14680/27]" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "El problema es óptimo\n" ] } ], "source": [ "tipo='max' #max o min\n", "n=3 # número de variables x's\n", "m=3 # número de restricciones (distintas de las de signo)\n", "\n", "\n", "c=matrix(QQ,1,n,[60,40,70] ) # vector de costos\n", "\n", "A=matrix(QQ,m,n,[ # coeficientes de las variables x's\n", "[3,2,1],\n", "[15,25,40],\n", "[9,20,30]\n", "])\n", "\n", "b=matrix(QQ,m,1,[12,310,200]) # vector de la derecha\n", "\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", "############ HASTA AQUÍ LOS DATOS ################################\n", "####################################################################\n", "\n", "\n", "#load('https://sage.unex.es/501708/simplex2023Auto.sage')\n", "load('https://sage.unex.es/501708/simplex2023Auto_MC.sage')\n" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "scrolled": true }, "outputs": [ { "data": { "text/html": [ " $\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\left[1, 2, 3, 4, 5, 6\\right]$ " ], "text/latex": [ "$$\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\left[1, 2, 3, 4, 5, 6\\right]$$" ], "text/plain": [ "[1, 2, 3, 4, 5, 6]" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "[79/81, 11/27, 2/27]" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ 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"$$\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\left(\\begin{array}{r|rrrrrrr|r}\n", "{Basic} & {x}_{1} & {x}_{2} & {x}_{3} & {\\color{green}{s}}_{1} & {\\color{green}{s}}_{2} & {\\color{green}{s}}_{3} & {\\color{green}{s}}_{4} & {b} \\\\\n", "\\hline\n", " {x}_{1} & 1 & \\frac{40}{81} & 0 & \\frac{10}{27} & 0 & -\\frac{1}{81} & 0 & \\frac{160}{81} \\\\\n", "{\\color{green}{s}}_{2} & 0 & -\\frac{85}{27} & 0 & -\\frac{10}{9} & 1 & -\\frac{35}{27} & 0 & \\frac{1010}{27} \\\\\n", "{x}_{3} & 0 & \\frac{14}{27} & 1 & -\\frac{1}{9} & 0 & \\frac{1}{27} & 0 & \\frac{164}{27} \\\\\n", "{\\color{green}{s}}_{4} & 0 & -\\frac{26}{675} & 0 & -\\frac{2}{225} & 0 & -\\frac{1}{27} & 1 & -\\frac{2}{27} \\\\\n", "\\hline\n", " {Z_{ind}} & 0 & -\\frac{700}{27} & 0 & -\\frac{130}{9} & 0 & -\\frac{50}{27} & 0 & \\frac{14680}{27}\n", "\\end{array}\\right)$$" ], "text/plain": [ "[ B| x1 x2 x3 s1 s2 s3 s4| rhs]\n", "[--------+--------------------------------------------------------------+--------]\n", "[ x1| 1 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