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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": 10, "metadata": {}, "outputs": [ { "data": { "text/html": [ " $\\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 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\\\\\n", "{\\color{green}{s}}_{4} & 0 & -\\frac{14}{27} & 0 & \\frac{1}{9} & 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)$$" ], "text/plain": [ "[ B| x1 x2 x3 s1 s2 s3 s4| rhs]\n", "[--------+--------------------------------------------------------------+--------]\n", "[ x1| 1 40/81 0 10/27 0 -1/81 0| 160/81]\n", "[ s2| 0 -85/27 0 -10/9 1 -35/27 0| 1010/27]\n", "[ x3| 0 14/27 1 -1/9 0 1/27 0| 164/27]\n", "[ s4| 0 -14/27 0 1/9 0 -1/27 1| -2/27]\n", "[--------+--------------------------------------------------------------+--------]\n", "[ Z| 0 -700/27 0 -130/9 0 -50/27 0|14680/27]" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "v=matrix(QQ,1,nv,[0,0,1,0,0,0] ); R=6;añadeRes(v,R)" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[ NO 50.000 NO NO NO 50.000 NO]" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "cocientesD(4)" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "scrolled": true }, "outputs": [ { "data": { "text/html": [ " $\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\left(\\begin{array}{r|rrrrrrr|r}\n", "{Basic} & {x}_{1} & {x}_{2} & {x}_{3} & {\\color{green}{s}}_{1} & {\\color{green}{s}}_{2} & {\\color{green}{s}}_{3} & {\\color{green}{s}}_{4} & {b} \\\\\n", "\\hline\n", " {x}_{1} & 1 & 0 & 0 & \\frac{10}{21} & 0 & -\\frac{1}{21} & \\frac{20}{21} & \\frac{40}{21} \\\\\n", "{\\color{green}{s}}_{2} & 0 & 0 & 0 & -\\frac{25}{14} & 1 & -\\frac{15}{14} & -\\frac{85}{14} & \\frac{265}{7} \\\\\n", "{x}_{3} & 0 & 0 & 1 & 0 & 0 & 0 & 1 & 6 \\\\\n", "{x}_{2} & 0 & 1 & 0 & -\\frac{3}{14} & 0 & \\frac{1}{14} & -\\frac{27}{14} & \\frac{1}{7} \\\\\n", "\\hline\n", " {Z_{ind}} & 0 & 0 & 0 & -20 & 0 & 0 & -50 & 540\n", "\\end{array}\\right)$ " ], "text/latex": [ "$$\\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 & 0 & 0 & \\frac{10}{21} & 0 & -\\frac{1}{21} & \\frac{20}{21} & \\frac{40}{21} \\\\\n", "{\\color{green}{s}}_{2} & 0 & 0 & 0 & -\\frac{25}{14} & 1 & -\\frac{15}{14} & -\\frac{85}{14} & \\frac{265}{7} \\\\\n", "{x}_{3} & 0 & 0 & 1 & 0 & 0 & 0 & 1 & 6 \\\\\n", "{x}_{2} & 0 & 1 & 0 & -\\frac{3}{14} & 0 & \\frac{1}{14} & -\\frac{27}{14} & \\frac{1}{7} \\\\\n", "\\hline\n", " {Z_{ind}} & 0 & 0 & 0 & -20 & 0 & 0 & -50 & 540\n", "\\end{array}\\right)$$" ], "text/plain": [ "[ B| x1 x2 x3 s1 s2 s3 s4| rhs]\n", "[------+------------------------------------------------+------]\n", "[ x1| 1 0 0 10/21 0 -1/21 20/21| 40/21]\n", "[ s2| 0 0 0 -25/14 1 -15/14 -85/14| 265/7]\n", "[ x3| 0 0 1 0 0 0 1| 6]\n", "[ x2| 0 1 0 -3/14 0 1/14 -27/14| 1/7]\n", "[------+------------------------------------------------+------]\n", "[ Z| 0 0 0 -20 0 0 -50| 540]" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "cambio(4,2)" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "text/html": [ " $\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\left(\\begin{array}{r|rrrrrrrr|r}\n", "{Basic} & {x}_{1} & {x}_{2} & {x}_{3} & {\\color{green}{s}}_{1} & {\\color{green}{s}}_{2} & {\\color{green}{s}}_{3} & {\\color{green}{s}}_{4} & {\\color{green}{s}}_{5} & {b} \\\\\n", "\\hline\n", " {x}_{1} & 1 & 0 & 0 & \\frac{10}{21} & 0 & -\\frac{1}{21} & \\frac{20}{21} & 0 & \\frac{40}{21} \\\\\n", "{\\color{green}{s}}_{2} & 0 & 0 & 0 & -\\frac{25}{14} & 1 & -\\frac{15}{14} & -\\frac{85}{14} & 0 & \\frac{265}{7} \\\\\n", "{x}_{3} & 0 & 0 & 1 & 0 & 0 & 0 & 1 & 0 & 6 \\\\\n", "{x}_{2} & 0 & 1 & 0 & -\\frac{3}{14} & 0 & \\frac{1}{14} & -\\frac{27}{14} & 0 & \\frac{1}{7} \\\\\n", "{\\color{green}{s}}_{5} & 0 & 0 & 0 & -\\frac{10}{21} & 0 & \\frac{1}{21} & -\\frac{20}{21} & 1 & -\\frac{19}{21} \\\\\n", "\\hline\n", " {Z_{ind}} & 0 & 0 & 0 & -20 & 0 & 0 & -50 & 0 & 540\n", "\\end{array}\\right)$ " ], "text/latex": [ "$$\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\left(\\begin{array}{r|rrrrrrrr|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} & {\\color{green}{s}}_{5} & {b} \\\\\n", "\\hline\n", " {x}_{1} & 1 & 0 & 0 & \\frac{10}{21} & 0 & -\\frac{1}{21} & \\frac{20}{21} & 0 & \\frac{40}{21} \\\\\n", "{\\color{green}{s}}_{2} & 0 & 0 & 0 & -\\frac{25}{14} & 1 & -\\frac{15}{14} & -\\frac{85}{14} & 0 & \\frac{265}{7} \\\\\n", "{x}_{3} & 0 & 0 & 1 & 0 & 0 & 0 & 1 & 0 & 6 \\\\\n", "{x}_{2} & 0 & 1 & 0 & -\\frac{3}{14} & 0 & \\frac{1}{14} & -\\frac{27}{14} & 0 & \\frac{1}{7} \\\\\n", "{\\color{green}{s}}_{5} & 0 & 0 & 0 & -\\frac{10}{21} & 0 & \\frac{1}{21} & -\\frac{20}{21} & 1 & -\\frac{19}{21} \\\\\n", "\\hline\n", " {Z_{ind}} & 0 & 0 & 0 & -20 & 0 & 0 & -50 & 0 & 540\n", "\\end{array}\\right)$$" ], "text/plain": [ "[ B| x1 x2 x3 s1 s2 s3 s4 s5| rhs]\n", "[------+-------------------------------------------------------+------]\n", "[ x1| 1 0 0 10/21 0 -1/21 20/21 0| 40/21]\n", "[ s2| 0 0 0 -25/14 1 -15/14 -85/14 0| 265/7]\n", "[ x3| 0 0 1 0 0 0 1 0| 6]\n", "[ x2| 0 1 0 -3/14 0 1/14 -27/14 0| 1/7]\n", "[ s5| 0 0 0 -10/21 0 1/21 -20/21 1|-19/21]\n", "[------+-------------------------------------------------------+------]\n", "[ Z| 0 0 0 -20 0 0 -50 0| 540]" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "v=matrix(QQ,1,nv,[1,0,0,0,0,0,0] ); R=1;añadeRes(v,R)" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[ NO NO NO 42.000 NO NO 52.500 NO]" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" } ], "source": [ "cocientesD(5)" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "text/html": [ " $\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\left(\\begin{array}{r|rrrrrrrr|r}\n", "{Basic} & {x}_{1} & {x}_{2} & {x}_{3} & {\\color{green}{s}}_{1} & {\\color{green}{s}}_{2} & {\\color{green}{s}}_{3} & {\\color{green}{s}}_{4} & {\\color{green}{s}}_{5} & {b} \\\\\n", "\\hline\n", " {x}_{1} & 1 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 1 \\\\\n", "{\\color{green}{s}}_{2} & 0 & 0 & 0 & 0 & 1 & -\\frac{5}{4} & -\\frac{5}{2} & -\\frac{15}{4} & \\frac{165}{4} \\\\\n", "{x}_{3} & 0 & 0 & 1 & 0 & 0 & 0 & 1 & 0 & 6 \\\\\n", "{x}_{2} & 0 & 1 & 0 & 0 & 0 & \\frac{1}{20} & -\\frac{3}{2} & -\\frac{9}{20} & \\frac{11}{20} \\\\\n", "{\\color{green}{s}}_{1} & 0 & 0 & 0 & 1 & 0 & -\\frac{1}{10} & 2 & -\\frac{21}{10} & \\frac{19}{10} \\\\\n", "\\hline\n", " {Z_{ind}} & 0 & 0 & 0 & 0 & 0 & -2 & -10 & -42 & 502\n", "\\end{array}\\right)$ " ], "text/latex": [ "$$\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\left(\\begin{array}{r|rrrrrrrr|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} & {\\color{green}{s}}_{5} & {b} \\\\\n", "\\hline\n", " {x}_{1} & 1 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 1 \\\\\n", "{\\color{green}{s}}_{2} & 0 & 0 & 0 & 0 & 1 & -\\frac{5}{4} & -\\frac{5}{2} & -\\frac{15}{4} & \\frac{165}{4} \\\\\n", "{x}_{3} & 0 & 0 & 1 & 0 & 0 & 0 & 1 & 0 & 6 \\\\\n", "{x}_{2} & 0 & 1 & 0 & 0 & 0 & \\frac{1}{20} & -\\frac{3}{2} & -\\frac{9}{20} & \\frac{11}{20} \\\\\n", "{\\color{green}{s}}_{1} & 0 & 0 & 0 & 1 & 0 & -\\frac{1}{10} & 2 & -\\frac{21}{10} & \\frac{19}{10} \\\\\n", "\\hline\n", " {Z_{ind}} & 0 & 0 & 0 & 0 & 0 & -2 & -10 & -42 & 502\n", "\\end{array}\\right)$$" ], "text/plain": [ "[ B| x1 x2 x3 s1 s2 s3 s4 s5| rhs]\n", "[------+-------------------------------------------------------+------]\n", "[ x1| 1 0 0 0 0 0 0 1| 1]\n", "[ s2| 0 0 0 0 1 -5/4 -5/2 -15/4| 165/4]\n", "[ x3| 0 0 1 0 0 0 1 0| 6]\n", "[ x2| 0 1 0 0 0 1/20 -3/2 -9/20| 11/20]\n", "[ s1| 0 0 0 1 0 -1/10 2 -21/10| 19/10]\n", "[------+-------------------------------------------------------+------]\n", "[ Z| 0 0 0 0 0 -2 -10 -42| 502]" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "cambio(5,4)" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "scrolled": true }, "outputs": [ { "data": { "text/html": [ " $\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\left(\\begin{array}{r|rrrrrrrrr|r}\n", "{Basic} & {x}_{1} & {x}_{2} & {x}_{3} & {\\color{green}{s}}_{1} & {\\color{green}{s}}_{2} & {\\color{green}{s}}_{3} & {\\color{green}{s}}_{4} & {\\color{green}{s}}_{5} & {\\color{green}{s}}_{6} & {b} \\\\\n", "\\hline\n", " {x}_{1} & 1 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 1 \\\\\n", "{\\color{green}{s}}_{2} & 0 & 0 & 0 & 0 & 1 & -\\frac{5}{4} & -\\frac{5}{2} & -\\frac{15}{4} & 0 & \\frac{165}{4} \\\\\n", "{x}_{3} & 0 & 0 & 1 & 0 & 0 & 0 & 1 & 0 & 0 & 6 \\\\\n", "{x}_{2} & 0 & 1 & 0 & 0 & 0 & \\frac{1}{20} & -\\frac{3}{2} & -\\frac{9}{20} & 0 & \\frac{11}{20} \\\\\n", "{\\color{green}{s}}_{1} & 0 & 0 & 0 & 1 & 0 & -\\frac{1}{10} & 2 & -\\frac{21}{10} & 0 & \\frac{19}{10} \\\\\n", "{\\color{green}{s}}_{6} & 0 & 0 & 0 & 0 & 0 & \\frac{1}{20} & -\\frac{3}{2} & -\\frac{9}{20} & 1 & -\\frac{9}{20} \\\\\n", "\\hline\n", " {Z_{ind}} & 0 & 0 & 0 & 0 & 0 & -2 & -10 & -42 & 0 & 502\n", "\\end{array}\\right)$ " ], "text/latex": [ "$$\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\left(\\begin{array}{r|rrrrrrrrr|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} & {\\color{green}{s}}_{5} & {\\color{green}{s}}_{6} & {b} \\\\\n", "\\hline\n", " {x}_{1} & 1 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 1 \\\\\n", "{\\color{green}{s}}_{2} & 0 & 0 & 0 & 0 & 1 & -\\frac{5}{4} & -\\frac{5}{2} & -\\frac{15}{4} & 0 & \\frac{165}{4} \\\\\n", "{x}_{3} & 0 & 0 & 1 & 0 & 0 & 0 & 1 & 0 & 0 & 6 \\\\\n", "{x}_{2} & 0 & 1 & 0 & 0 & 0 & \\frac{1}{20} & -\\frac{3}{2} & -\\frac{9}{20} & 0 & \\frac{11}{20} \\\\\n", "{\\color{green}{s}}_{1} & 0 & 0 & 0 & 1 & 0 & -\\frac{1}{10} & 2 & -\\frac{21}{10} & 0 & \\frac{19}{10} \\\\\n", "{\\color{green}{s}}_{6} & 0 & 0 & 0 & 0 & 0 & \\frac{1}{20} & -\\frac{3}{2} & -\\frac{9}{20} & 1 & -\\frac{9}{20} \\\\\n", "\\hline\n", " {Z_{ind}} & 0 & 0 & 0 & 0 & 0 & -2 & -10 & -42 & 0 & 502\n", "\\end{array}\\right)$$" ], "text/plain": [ "[ B| x1 x2 x3 s1 s2 s3 s4 s5 s6| rhs]\n", "[------+--------------------------------------------------------------+------]\n", "[ x1| 1 0 0 0 0 0 0 1 0| 1]\n", "[ s2| 0 0 0 0 1 -5/4 -5/2 -15/4 0| 165/4]\n", "[ x3| 0 0 1 0 0 0 1 0 0| 6]\n", "[ x2| 0 1 0 0 0 1/20 -3/2 -9/20 0| 11/20]\n", "[ s1| 0 0 0 1 0 -1/10 2 -21/10 0| 19/10]\n", "[ s6| 0 0 0 0 0 1/20 -3/2 -9/20 1| -9/20]\n", "[------+--------------------------------------------------------------+------]\n", "[ Z| 0 0 0 0 0 -2 -10 -42 0| 502]" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "v=matrix(QQ,1,nv,[0,-1,0,0,0,0,0,0] ); R=-1;añadeRes(v,R)" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[ NO NO NO NO NO NO 6.6667 93.333 NO]" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" } ], "source": [ "cocientesD(6)" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "text/html": [ " $\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\left(\\begin{array}{r|rrrrrrrrr|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} & {\\color{green}{s}}_{5} & {\\color{green}{s}}_{6} & {b} \\\\\n", "\\hline\n", " {x}_{1} & 1 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 1 \\\\\n", "{\\color{green}{s}}_{2} & 0 & 0 & 0 & 0 & 1 & -\\frac{4}{3} & 0 & -3 & -\\frac{5}{3} & 42 \\\\\n", "{x}_{3} & 0 & 0 & 1 & 0 & 0 & \\frac{1}{30} & 0 & -\\frac{3}{10} & \\frac{2}{3} & \\frac{57}{10} \\\\\n", "{x}_{2} & 0 & 1 & 0 & 0 & 0 & 0 & 0 & 0 & -1 & 1 \\\\\n", "{\\color{green}{s}}_{1} & 0 & 0 & 0 & 1 & 0 & -\\frac{1}{30} & 0 & -\\frac{27}{10} & \\frac{4}{3} & \\frac{13}{10} \\\\\n", "{\\color{green}{s}}_{4} & 0 & 0 & 0 & 0 & 0 & -\\frac{1}{30} & 1 & \\frac{3}{10} & -\\frac{2}{3} & \\frac{3}{10} \\\\\n", "\\hline\n", " {Z_{ind}} & 0 & 0 & 0 & 0 & 0 & -\\frac{7}{3} & 0 & -39 & -\\frac{20}{3} & 499\n", "\\end{array}\\right)$ " ], "text/latex": [ "$$\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\left(\\begin{array}{r|rrrrrrrrr|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} & {\\color{green}{s}}_{5} & {\\color{green}{s}}_{6} & {b} \\\\\n", "\\hline\n", " {x}_{1} & 1 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 1 \\\\\n", "{\\color{green}{s}}_{2} & 0 & 0 & 0 & 0 & 1 & -\\frac{4}{3} & 0 & -3 & -\\frac{5}{3} & 42 \\\\\n", "{x}_{3} & 0 & 0 & 1 & 0 & 0 & \\frac{1}{30} & 0 & -\\frac{3}{10} & \\frac{2}{3} & \\frac{57}{10} \\\\\n", "{x}_{2} & 0 & 1 & 0 & 0 & 0 & 0 & 0 & 0 & -1 & 1 \\\\\n", "{\\color{green}{s}}_{1} & 0 & 0 & 0 & 1 & 0 & -\\frac{1}{30} & 0 & -\\frac{27}{10} & \\frac{4}{3} & \\frac{13}{10} \\\\\n", "{\\color{green}{s}}_{4} & 0 & 0 & 0 & 0 & 0 & -\\frac{1}{30} & 1 & \\frac{3}{10} & -\\frac{2}{3} & \\frac{3}{10} \\\\\n", "\\hline\n", " {Z_{ind}} & 0 & 0 & 0 & 0 & 0 & -\\frac{7}{3} & 0 & -39 & -\\frac{20}{3} & 499\n", "\\end{array}\\right)$$" ], "text/plain": [ "[ B| x1 x2 x3 s1 s2 s3 s4 s5 s6| rhs]\n", "[------+--------------------------------------------------------------+------]\n", "[ x1| 1 0 0 0 0 0 0 1 0| 1]\n", "[ s2| 0 0 0 0 1 -4/3 0 -3 -5/3| 42]\n", "[ x3| 0 0 1 0 0 1/30 0 -3/10 2/3| 57/10]\n", "[ x2| 0 1 0 0 0 0 0 0 -1| 1]\n", "[ s1| 0 0 0 1 0 -1/30 0 -27/10 4/3| 13/10]\n", "[ s4| 0 0 0 0 0 -1/30 1 3/10 -2/3| 3/10]\n", "[------+--------------------------------------------------------------+------]\n", "[ Z| 0 0 0 0 0 -7/3 0 -39 -20/3| 499]" ] }, "metadata": {}, 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