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    "# The Price Elasticity of Demand\n",
    "Notebook for the Public Finance course, UCSC, AY 2018/2019 by Duccio Gamannossi degl' Innocenti. You can find more information on the course [here](http://www.dgdi.me/#teaching).\n",
    "\n",
    "### Intoduction\n",
    "This notebook presents the elasticity of demand and how it can be computed in the case of a linear demand function.\n",
    "\n",
    "Given a linear (Marshallian) demand function"
   ]
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     "data": {
      "text/html": [
       "<script type=\"math/tex\">Q^D= -\\frac{P}{b} + \\frac{a}{b}</script>"
      ],
      "text/plain": [
       "<script type=\"math/tex\">Q^D= -\\frac{P}{b} + \\frac{a}{b}</script>"
      ]
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     "execution_count": 1,
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   ],
   "source": [
    "var('b, a, P, Q')\n",
    "demand(a, b, P) = ((a/b) - ((1/b)*P))\n",
    "html(\"Q^D=\"+latex(demand(a, b, P)))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Where $a, b >0$ and $0 \\leq P \\leq a$ to ensure positivity of quantity demanded and the negative slope of the curve"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Then, the inverse demand function is:"
   ]
  },
  {
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   "execution_count": 2,
   "metadata": {},
   "outputs": [
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     "data": {
      "text/html": [
       "<script type=\"math/tex\">P^D= -Q b + a</script>"
      ],
      "text/plain": [
       "<script type=\"math/tex\">P^D= -Q b + a</script>"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "demand_inv(a, b, Q) = solve(demand(a, b, P) == Q, P)[0].rhs()\n",
    "html(\"P^D=\"+latex(demand_inv(a, b, Q)))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "With $0 \\leq Q \\leq \\frac{a}{b}$ to ensure positivity of price.\n",
    "\n",
    "The slope of the demand curve is given by its derivative relative to price $\\frac{\\partial Q}{\\partial P}$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<script type=\"math/tex\">\\frac{\\partial Q}{\\partial P}= -\\frac{1}{b}</script>"
      ],
      "text/plain": [
       "<script type=\"math/tex\">\\frac{\\partial Q}{\\partial P}= -\\frac{1}{b}</script>"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "dqdp=derivative(demand(a, b, P), P)\n",
    "html(\"\\\\frac{\\partial Q}{\\partial P}=\" + latex(dqdp))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The price elasticity of demand is defined as the percentage change in quantity demanded in response to a one percent change in price. \n",
    "\n",
    "$$\\epsilon=\\frac{\\frac{d Q}{Q}}{\\frac{d P}{P}} = \\frac{dQ}{dP}\\frac{P}{Q} $$\n",
    "\n",
    "For our demand function it is $\\frac{dQ}{dP}= -\\frac{1}{b}$ and, from the inverse demand function, $Q^D=-\\frac{P}{b} + \\frac{a}{b}$. Substituting into the elasticity expression it is "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<script type=\"math/tex\">\\epsilon= \\frac{P}{P - a}</script>"
      ],
      "text/plain": [
       "<script type=\"math/tex\">\\epsilon= \\frac{P}{P - a}</script>"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "elasticity(P, a) = (dqdp*P/demand(a, b, P)).simplify_full()\n",
    "html(\"\\epsilon=\" + latex(elasticity(P, a)))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Given that $P$ ranges between $0$ and $a$, the elasticity is bounded between a minimum $\\epsilon(P=0) = 0$ and a supremum $\\epsilon(P=a) \\rightarrow \\infty$. \n",
    "\n",
    "We can investigate how elasticity changes in response to price by computing its derivative with respect to $P$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<script type=\"math/tex\">\\epsilon= -\\frac{a}{P^{2} - 2 \\, P a + a^{2}} <0</script>"
      ],
      "text/plain": [
       "<script type=\"math/tex\">\\epsilon= -\\frac{a}{P^{2} - 2 \\, P a + a^{2}} <0</script>"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "dedp=diff(elasticity(P, a),P).simplify_full()\n",
    "html(\"\\epsilon=\" + latex(dedp) + \"<0\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "So we can conclude that for higher prices elasiticity will be smaller. \n",
    "\n",
    "\n",
    "\n",
    "We can plot the demand curve and have a look at the variation of elasticity in response to price using an interactive graph"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sage.repl.ipython_kernel.interact import interact\n",
    "import matplotlib as mpl\n",
    "mpl.rcParams['axes.labelsize'] = 14.\n",
    "mpl.rcParams['xtick.labelsize'] = 14.\n",
    "mpl.rcParams['ytick.labelsize'] = 14.\n",
    "mpl.rcParams['legend.fontsize'] = 14.\n",
    "mpl.rcParams['figure.titlesize'] = 50.\n",
    "mpl.rcParams['font.size'] = 14.\n",
    "mpl.rcParams['font.family'] = 'serif'\n",
    "import numpy as np\n",
    "verticalPad(a, b) = demand_inv(a, b, 0)*(1/10)\n",
    "pmax(a, b) = demand_inv(a, b, 0) + verticalPad\n",
    "qmax(a, b) = a/b\n",
    "consumer_color = Color(.098, .447, .82)\n",
    "producer_color = Color(.588, .204, .518)"
   ]
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   "execution_count": 7,
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    "pmax(a) = a\n",
    "qmax(a, b) = a/b\n",
    "\n",
    "a=10\n",
    "b=.5\n",
    "@interact\n",
    "\n",
    "def _(p0 = slider(.0000001, pmax(a), step_size=pmax(a)/1000000, default = pmax(a)/2)):\n",
    "    \n",
    "    demand_plot = plot(demand_inv(a, b, Q), (Q, 0, qmax(a, b)),\n",
    "                      rgbcolor = (consumer_color),\n",
    "                      ticks = [[a/(2*b)],\n",
    "                      [a/2]],\n",
    "             tick_formatter=[[\"$\\\\frac{a}{2b}$\"],\n",
    "                             [\"$\\\\frac{a}{2}$\"]],\n",
    "             axes_labels=['quantity','price'],\n",
    "             axes_labels_size = 1)\n",
    "    \n",
    "    unit_h = line([(0, a/2), (a/(2*b), a/2)], \n",
    "                  color = \"black\",\n",
    "                 linestyle = ('--'))\n",
    "    \n",
    "    unit_v = line([(a/(2*b), 0), (a/(2*b),a/2)], \n",
    "                  color = \"black\",\n",
    "                 linestyle = ('--'))\n",
    "    \n",
    "    dot_plot = point((demand(a, b, p0), p0), pointsize=60, rgbcolor=(1,0,0))\n",
    "    \n",
    "    P_tot = demand_plot + dot_plot + unit_h + unit_v \n",
    "    \n",
    "\n",
    "    \n",
    "    elasticity_plot = text('$\\epsilon$=%s'%(elasticity(p0, a).n(3)), \n",
    "                           (demand(a, b, p0)+1, p0+.5) ,\n",
    "                           horizontal_alignment='left',\n",
    "                           color='black',\n",
    "                          fontsize = 14)\n",
    "    \n",
    "    midpoint_plot = text('$M$', \n",
    "                           (((a/(2*b))-1.75,(a/2)-.75)) ,\n",
    "                           horizontal_alignment='left',\n",
    "                           color='black',\n",
    "                          fontsize = 18)\n",
    "    \n",
    "    inelastic_plot = text('Inelastic Demand $|\\epsilon| < 1 $', \n",
    "                           ((a+11,(.5+a/4))) ,\n",
    "                           horizontal_alignment='left',\n",
    "                           color='black',\n",
    "                          fontsize = 12)\n",
    "    \n",
    "    elastic_plot = text('Elastic Demand $|\\epsilon| > 1 $', \n",
    "                           ((a/(4*b)+2,(2/3)*a+3)) ,\n",
    "                           horizontal_alignment='left',\n",
    "                           color='black',\n",
    "                          fontsize = 12)\n",
    "    \n",
    "    P_tot = P_tot + elasticity_plot + midpoint_plot + inelastic_plot + elastic_plot\n",
    "    \n",
    "    P_tot.fontsize(15) \n",
    "\n",
    "    show(P_tot, ymin = -verticalPad(a, b), ymax = pmax(a, b)+1,  \n",
    "         xmin = -1, xmax = qmax(a, b)+4.9,\n",
    "         figsize = 7)\n",
    "    \n",
    "    \n",
    "    \n",
    "    \n",
    "    "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Given that demand is downward sloping, elasticity is always negative. By convention, economists usually report the **absolute value of elasticity** $|\\epsilon|$.\n",
    "\n",
    "The midpoint $M$ where $P=a/2$ is characterized by unitary elasticity, i.e., $\\epsilon(P=\\frac{a}{2}) = 1$. At this point, a $1\\%$ change in price leads to a $1\\%$ change in quantity. For points at the left of $M$, an increase in price of $1\\%$ reduce quantities by more that $1\\%$ i.e., the demand is *elastic*. Conversely, for the points at the right of $M$ a $1\\%$ increase in price entails a reduction in quantity of an amount lower that the $1\\%$, i.e. the demand is *inelastic*.\n",
    "\n",
    "Usually, economists use the symbol $\\epsilon$ to refer to the Marshallian (uncompensated) price elasticity of demand while using the symbol $\\eta$ for the Hicksian (compensated) price elasticity of demand. \n",
    "\n",
    "To compute $\\eta$ the method is exactly the same but applied to the compensated demand function."
   ]
  }
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\n",
          "text/plain": "Graphics object consisting of 8 graphics primitives"
         },
         "metadata": {},
         "output_type": "display_data"
        }
       ]
      }
     },
     "18fafeb3e8c045ae80d2add4adc64277": {
      "model_module": "@jupyter-widgets/base",
      "model_module_version": "1.0.0",
      "model_name": "LayoutModel",
      "state": {}
     },
     "19ad834821bf42f0be6ce6df0d2f2e0d": {
      "model_module": "@jupyter-widgets/controls",
      "model_module_version": "1.2.0",
      "model_name": "FloatSliderModel",
      "state": {
       "description": "p0",
       "layout": "IPY_MODEL_b86dce4346004b69a981e22f7b6b21e6",
       "max": 10,
       "min": 1e-07,
       "step": 0.2,
       "style": "IPY_MODEL_c2c4ad6069684e1490ef745637810c32",
       "value": 5
      }
     },
     "19f9ced0a2944108b0aa7d342d77879c": {
      "model_module": "@jupyter-widgets/base",
      "model_module_version": "1.0.0",
      "model_name": "LayoutModel",
      "state": {}
     },
     "20e72c7504d54f0c9e43e242d475d7e3": {
      "model_module": "@jupyter-widgets/controls",
      "model_module_version": "1.2.0",
      "model_name": "FloatSliderModel",
      "state": {
       "description": "p0",
       "layout": "IPY_MODEL_8a5a305cee2a4dbfa50dc0c080e4d8e2",
       "max": 10,
       "min": 1e-07,
       "step": 0.02,
       "style": "IPY_MODEL_042c6fa548404489b7dd18d606496bdd",
       "value": 1e-07
      }
     },
     "25cddac4960248efb445c8c1826b2e7e": {
      "model_module": "@jupyter-widgets/output",
      "model_module_version": "1.0.0",
      "model_name": "OutputModel",
      "state": {
       "layout": "IPY_MODEL_413ec8c902014d3a89e46b7b33bdc4f0",
       "outputs": [
        {
         "ename": "TypeError",
         "evalue": "cannot evaluate symbolic expression numerically",
         "output_type": "error",
         "traceback": [
          "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
          "\u001b[0;31mTypeError\u001b[0m                                 Traceback (most recent call last)",
          "\u001b[0;32m/opt/sagemath-8.6/local/lib/python2.7/site-packages/ipywidgets/widgets/interaction.py\u001b[0m in \u001b[0;36mupdate\u001b[0;34m(self, *args)\u001b[0m\n\u001b[1;32m    249\u001b[0m                     \u001b[0mvalue\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mwidget\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mget_interact_value\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m    250\u001b[0m                     \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mkwargs\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0mwidget\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_kwarg\u001b[0m\u001b[0;34m]\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mvalue\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 251\u001b[0;31m                 \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mresult\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mf\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m**\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mkwargs\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m    252\u001b[0m                 \u001b[0mshow_inline_matplotlib_plots\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m    253\u001b[0m                 \u001b[0;32mif\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mauto_display\u001b[0m \u001b[0;32mand\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mresult\u001b[0m \u001b[0;32mis\u001b[0m \u001b[0;32mnot\u001b[0m \u001b[0mNone\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
          "\u001b[0;32m<ipython-input-11-968955dc14cd>\u001b[0m in \u001b[0;36m_\u001b[0;34m(p0)\u001b[0m\n\u001b[1;32m     31\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m     32\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 33\u001b[0;31m     elasticity_plot = text('$\\epsilon$=%s'%(elasticity(p0, a).n(Integer(3))), \n\u001b[0m\u001b[1;32m     34\u001b[0m                            \u001b[0;34m(\u001b[0m\u001b[0mdemand\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ma\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mb\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mp0\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m+\u001b[0m\u001b[0mInteger\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mp0\u001b[0m\u001b[0;34m+\u001b[0m\u001b[0mRealNumber\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m'.5'\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m     35\u001b[0m                            \u001b[0mhorizontal_alignment\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;34m'left'\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
          "\u001b[0;32m/opt/sagemath-8.6/local/lib/python2.7/site-packages/sage/structure/element.pyx\u001b[0m in \u001b[0;36msage.structure.element.Element.n (build/cythonized/sage/structure/element.c:8058)\u001b[0;34m()\u001b[0m\n\u001b[1;32m    859\u001b[0m             \u001b[0;36m0.666666666666667\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m    860\u001b[0m         \"\"\"\n\u001b[0;32m--> 861\u001b[0;31m         \u001b[0;32mreturn\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mnumerical_approx\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mprec\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mdigits\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0malgorithm\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m    862\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m    863\u001b[0m     \u001b[0;32mdef\u001b[0m \u001b[0m_mpmath_\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mprec\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;36m53\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mrounding\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mNone\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
          "\u001b[0;32m/opt/sagemath-8.6/local/lib/python2.7/site-packages/sage/symbolic/expression.pyx\u001b[0m in \u001b[0;36msage.symbolic.expression.Expression.numerical_approx (build/cythonized/sage/symbolic/expression.cpp:34636)\u001b[0;34m()\u001b[0m\n\u001b[1;32m   5979\u001b[0m             \u001b[0mres\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mx\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mpyobject\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m   5980\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m-> 5981\u001b[0;31m             \u001b[0;32mraise\u001b[0m \u001b[0mTypeError\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m\"cannot evaluate symbolic expression numerically\"\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m   5982\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m   5983\u001b[0m         \u001b[0;31m# Important -- the  we get might not be a valid output for numerical_approx in\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
          "\u001b[0;31mTypeError\u001b[0m: cannot evaluate symbolic expression numerically"
         ]
        }
       ]
      }
     },
     "2f11ceaec9714dca897999190cd9ae4a": {
      "model_module": "@jupyter-widgets/controls",
      "model_module_version": "1.2.0",
      "model_name": "SliderStyleModel",
      "state": {
       "description_width": ""
      }
     },
     "3039f66ae2f240dfb691fc4843ab9d44": {
      "model_module": "@jupyter-widgets/controls",
      "model_module_version": "1.2.0",
      "model_name": "VBoxModel",
      "state": {
       "_dom_classes": [
        "widget-interact"
       ],
       "children": [
        "IPY_MODEL_8c0e47df3ad245c1bf69693be3061ca8",
        "IPY_MODEL_8d0885d1ab7e45ff8c47117a704197f6"
       ],
       "layout": "IPY_MODEL_a74e79b630364280a749279d995a41e5"
      }
     },
     "34edd4b711ea43d2bc171f8d9406ceaf": {
      "model_module": "@jupyter-widgets/controls",
      "model_module_version": "1.2.0",
      "model_name": "VBoxModel",
      "state": {
       "_dom_classes": [
        "widget-interact"
       ],
       "children": [
        "IPY_MODEL_564e735384254e5198ff96121e2b87f1",
        "IPY_MODEL_51271262fbd041d7b81f084a86595a31"
       ],
       "layout": "IPY_MODEL_c9b20763c3b841c796e8042405749fed"
      }
     },
     "3631fc06aa0c4703be9fbdac67d994bb": {
      "model_module": "@jupyter-widgets/controls",
      "model_module_version": "1.2.0",
      "model_name": "SliderStyleModel",
      "state": {
       "description_width": ""
      }
     },
     "39cac6750a7f482d917be1009f1d0bb9": {
      "model_module": "@jupyter-widgets/controls",
      "model_module_version": "1.2.0",
      "model_name": "VBoxModel",
      "state": {
       "_dom_classes": [
        "widget-interact"
       ],
       "children": [
        "IPY_MODEL_de2eeef668cd4931a25a54fe0dc9b88d",
        "IPY_MODEL_51b5363d45cc484f972583d31c22e8d9"
       ],
       "layout": "IPY_MODEL_19f9ced0a2944108b0aa7d342d77879c"
      }
     },
     "3b2d6ecbee4f406ba297d4545552ea8e": {
      "model_module": "@jupyter-widgets/controls",
      "model_module_version": "1.2.0",
      "model_name": "FloatSliderModel",
      "state": {
       "description": "p0",
       "layout": "IPY_MODEL_b9e3622aee9346189cfe073bf8333555",
       "max": 10,
       "min": 1e-07,
       "step": 1e-05,
       "style": "IPY_MODEL_5eb50ae2e97b4953be9604aa9da52bed",
       "value": 5
      }
     },
     "3cd8fa93a2714be18888ee1215ecb361": {
      "model_module": "@jupyter-widgets/output",
      "model_module_version": "1.0.0",
      "model_name": "OutputModel",
      "state": {
       "layout": "IPY_MODEL_88b846da8dbd42be99b73b7d6ba0fa75",
       "outputs": [
        {
         "data": {
          "image/png": 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\n",
          "text/plain": "Graphics object consisting of 8 graphics primitives"
         },
         "metadata": {},
         "output_type": "display_data"
        }
       ]
      }
     },
     "3f135511567c48978d47683faf88e099": {
      "model_module": "@jupyter-widgets/base",
      "model_module_version": "1.0.0",
      "model_name": "LayoutModel",
      "state": {}
     },
     "413ec8c902014d3a89e46b7b33bdc4f0": {
      "model_module": "@jupyter-widgets/base",
      "model_module_version": "1.0.0",
      "model_name": "LayoutModel",
      "state": {}
     },
     "45304f6b57de42e09d2efa04ae11b9c3": {
      "model_module": "@jupyter-widgets/controls",
      "model_module_version": "1.2.0",
      "model_name": "VBoxModel",
      "state": {
       "_dom_classes": [
        "widget-interact"
       ],
       "children": [
        "IPY_MODEL_589ae4be38db42f1a6d52b4f6a44ecfb",
        "IPY_MODEL_4c98fbad36434fd78da828ff044236a4"
       ],
       "layout": "IPY_MODEL_a360901ebf6f4a63b41488d77f7268e5"
      }
     },
     "495e1ec01ef24ba09c876a885d6250fd": {
      "model_module": "@jupyter-widgets/base",
      "model_module_version": "1.0.0",
      "model_name": "LayoutModel",
      "state": {}
     },
     "4ab41d693bba49db8586c615742c1705": {
      "model_module": "@jupyter-widgets/controls",
      "model_module_version": "1.2.0",
      "model_name": "SliderStyleModel",
      "state": {
       "description_width": ""
      }
     },
     "4b733d6232214d0ab162cfa84a000d7a": {
      "model_module": "@jupyter-widgets/controls",
      "model_module_version": "1.2.0",
      "model_name": "VBoxModel",
      "state": {
       "_dom_classes": [
        "widget-interact"
       ],
       "children": [
        "IPY_MODEL_acc92f6fbb0f469098b01da565d56f52",
        "IPY_MODEL_152b13a8c90b4b2ea86999fc685ebded"
       ],
       "layout": "IPY_MODEL_b92616b71c0d4b0997099e57f71f070b"
      }
     },
     "4c98fbad36434fd78da828ff044236a4": {
      "model_module": "@jupyter-widgets/output",
      "model_module_version": "1.0.0",
      "model_name": "OutputModel",
      "state": {
       "layout": "IPY_MODEL_549084a1d55845dc9ade107626d4fd3e",
       "outputs": [
        {
         "data": {
          "image/png": 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\n",
          "text/plain": "Graphics object consisting of 8 graphics primitives"
         },
         "metadata": {},
         "output_type": "display_data"
        }
       ]
      }
     },
     "4cdc35e1dd344c48ad899a7b37cca9dd": {
      "model_module": "@jupyter-widgets/base",
      "model_module_version": "1.0.0",
      "model_name": "LayoutModel",
      "state": {}
     },
     "4f45011c56f54c9f9d950e174a089dba": {
      "model_module": "@jupyter-widgets/controls",
      "model_module_version": "1.2.0",
      "model_name": "FloatSliderModel",
      "state": {
       "description": "p0",
       "layout": "IPY_MODEL_e608104ea1954d6f9eec8d45e8d287d0",
       "max": 10,
       "min": 1e-07,
       "step": 1e-05,
       "style": "IPY_MODEL_2f11ceaec9714dca897999190cd9ae4a",
       "value": 9.99999
      }
     },
     "50acc125b8bd40dbad10c696e304ba3f": {
      "model_module": "@jupyter-widgets/base",
      "model_module_version": "1.0.0",
      "model_name": "LayoutModel",
      "state": {}
     },
     "51271262fbd041d7b81f084a86595a31": {
      "model_module": "@jupyter-widgets/output",
      "model_module_version": "1.0.0",
      "model_name": "OutputModel",
      "state": {
       "layout": "IPY_MODEL_495e1ec01ef24ba09c876a885d6250fd",
       "outputs": [
        {
         "data": {
          "image/png": 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\n",
          "text/plain": "Graphics object consisting of 8 graphics primitives"
         },
         "metadata": {},
         "output_type": "display_data"
        }
       ]
      }
     },
     "51b5363d45cc484f972583d31c22e8d9": {
      "model_module": "@jupyter-widgets/output",
      "model_module_version": "1.0.0",
      "model_name": "OutputModel",
      "state": {
       "layout": "IPY_MODEL_754cc00871ab45ed8201f12533a94015",
       "outputs": [
        {
         "data": {
          "image/png": 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\n",
          "text/plain": "Graphics object consisting of 8 graphics primitives"
         },
         "metadata": {},
         "output_type": "display_data"
        }
       ]
      }
     },
     "8470528ea745420d84f74e302f58103b": {
      "model_module": "@jupyter-widgets/base",
      "model_module_version": "1.0.0",
      "model_name": "LayoutModel",
      "state": {}
     },
     "852a1d60c6a9410c82b730bc30b0c651": {
      "model_module": "@jupyter-widgets/output",
      "model_module_version": "1.0.0",
      "model_name": "OutputModel",
      "state": {
       "layout": "IPY_MODEL_d393967cc9fe4a6db8ec706a2831d8a9",
       "outputs": [
        {
         "data": {
          "image/png": 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\n",
          "text/plain": "Graphics object consisting of 8 graphics primitives"
         },
         "metadata": {},
         "output_type": "display_data"
        }
       ]
      }
     },
     "88b846da8dbd42be99b73b7d6ba0fa75": {
      "model_module": "@jupyter-widgets/base",
      "model_module_version": "1.0.0",
      "model_name": "LayoutModel",
      "state": {}
     },
     "8a5a305cee2a4dbfa50dc0c080e4d8e2": {
      "model_module": "@jupyter-widgets/base",
      "model_module_version": "1.0.0",
      "model_name": "LayoutModel",
      "state": {}
     },
     "8c0e47df3ad245c1bf69693be3061ca8": {
      "model_module": "@jupyter-widgets/controls",
      "model_module_version": "1.2.0",
      "model_name": "FloatSliderModel",
      "state": {
       "description": "p0",
       "layout": "IPY_MODEL_c4e62f90b324421883cdddc8cc8712a6",
       "max": 10,
       "min": 1e-07,
       "step": 0.2,
       "style": "IPY_MODEL_3631fc06aa0c4703be9fbdac67d994bb",
       "value": 5
      }
     },
     "8d0885d1ab7e45ff8c47117a704197f6": {
      "model_module": "@jupyter-widgets/output",
      "model_module_version": "1.0.0",
      "model_name": "OutputModel",
      "state": {
       "layout": "IPY_MODEL_adcfdbb348a94044ac89cf472c1d14f4",
       "outputs": [
        {
         "data": {
          "image/png": 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       "outputs": [
        {
         "ename": "NameError",
         "evalue": "global name 'demand_inv' is not defined",
         "output_type": "error",
         "traceback": [
          "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
          "\u001b[0;31mNameError\u001b[0m                                 Traceback (most recent call last)",
          "\u001b[0;32m/opt/sagemath-8.6/local/lib/python2.7/site-packages/ipywidgets/widgets/interaction.py\u001b[0m in \u001b[0;36mupdate\u001b[0;34m(self, *args)\u001b[0m\n\u001b[1;32m    249\u001b[0m                     \u001b[0mvalue\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mwidget\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mget_interact_value\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m    250\u001b[0m                     \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mkwargs\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0mwidget\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_kwarg\u001b[0m\u001b[0;34m]\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mvalue\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 251\u001b[0;31m                 \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mresult\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mf\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m**\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mkwargs\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m    252\u001b[0m                 \u001b[0mshow_inline_matplotlib_plots\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m    253\u001b[0m                 \u001b[0;32mif\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mauto_display\u001b[0m \u001b[0;32mand\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mresult\u001b[0m \u001b[0;32mis\u001b[0m \u001b[0;32mnot\u001b[0m \u001b[0mNone\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
          "\u001b[0;32m<ipython-input-1-968955dc14cd>\u001b[0m in \u001b[0;36m_\u001b[0;34m(p0)\u001b[0m\n\u001b[1;32m      8\u001b[0m \u001b[0;32mdef\u001b[0m \u001b[0m_\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mp0\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mslider\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mRealNumber\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m'.0000001'\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mpmax\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ma\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mstep_size\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mpmax\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ma\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m/\u001b[0m\u001b[0mInteger\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;36m50\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mdefault\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mpmax\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ma\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m/\u001b[0m\u001b[0mInteger\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;36m2\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      9\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 10\u001b[0;31m     demand_plot = plot(demand_inv(a, b, Q), (Q, Integer(0), qmax(a, b)),\n\u001b[0m\u001b[1;32m     11\u001b[0m                       \u001b[0mrgbcolor\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;34m(\u001b[0m\u001b[0mconsumer_color\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m     12\u001b[0m                       ticks = [[a/(Integer(2)*b)],\n",
          "\u001b[0;31mNameError\u001b[0m: global name 'demand_inv' is not defined"
         ]
        }
       ]
      }
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      "model_module": "@jupyter-widgets/base",
      "model_module_version": "1.0.0",
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      "state": {}
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     "c017264be3124c2ca9779f42f2ff4183": {
      "model_module": "@jupyter-widgets/controls",
      "model_module_version": "1.2.0",
      "model_name": "FloatSliderModel",
      "state": {
       "description": "p0",
       "layout": "IPY_MODEL_deebacfd99804bbbbbc5c94ae64cc1e4",
       "max": 10,
       "min": 1e-07,
       "step": 0.0001,
       "style": "IPY_MODEL_a5f8c993f18748f9abc96c8b3c5ce071",
       "value": 9.9999
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     "c25141eb4f8745499a29d372c65d7fb5": {
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      "model_module": "@jupyter-widgets/controls",
      "model_module_version": "1.2.0",
      "model_name": "SliderStyleModel",
      "state": {
       "description_width": ""
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     "c4e62f90b324421883cdddc8cc8712a6": {
      "model_module": "@jupyter-widgets/base",
      "model_module_version": "1.0.0",
      "model_name": "LayoutModel",
      "state": {}
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     "c9b20763c3b841c796e8042405749fed": {
      "model_module": "@jupyter-widgets/base",
      "model_module_version": "1.0.0",
      "model_name": "LayoutModel",
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     "ccd629006dad4ef19b8e68cdd244ed33": {
      "model_module": "@jupyter-widgets/controls",
      "model_module_version": "1.2.0",
      "model_name": "SliderStyleModel",
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     "cd7f49d25595479ea653d0670f9910f6": {
      "model_module": "@jupyter-widgets/base",
      "model_module_version": "1.0.0",
      "model_name": "LayoutModel",
      "state": {}
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     "d393967cc9fe4a6db8ec706a2831d8a9": {
      "model_module": "@jupyter-widgets/base",
      "model_module_version": "1.0.0",
      "model_name": "LayoutModel",
      "state": {}
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     "daad955a695f498e8e9f780e059aeba0": {
      "model_module": "@jupyter-widgets/output",
      "model_module_version": "1.0.0",
      "model_name": "OutputModel",
      "state": {
       "layout": "IPY_MODEL_6b6926733c3b4d13868fb472b30bb40b",
       "outputs": [
        {
         "data": {
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\n",
          "text/plain": "Graphics object consisting of 8 graphics primitives"
         },
         "metadata": {},
         "output_type": "display_data"
        }
       ]
      }
     },
     "de2eeef668cd4931a25a54fe0dc9b88d": {
      "model_module": "@jupyter-widgets/controls",
      "model_module_version": "1.2.0",
      "model_name": "FloatSliderModel",
      "state": {
       "description": "p0",
       "layout": "IPY_MODEL_5d49bbf4de714f97a7bc909b02180120",
       "max": 10,
       "min": 1e-07,
       "step": 0.01,
       "style": "IPY_MODEL_f5790a45d81b43018f2203ce8938bac0",
       "value": 9.99
      }
     },
     "deebacfd99804bbbbbc5c94ae64cc1e4": {
      "model_module": "@jupyter-widgets/base",
      "model_module_version": "1.0.0",
      "model_name": "LayoutModel",
      "state": {}
     },
     "e608104ea1954d6f9eec8d45e8d287d0": {
      "model_module": "@jupyter-widgets/base",
      "model_module_version": "1.0.0",
      "model_name": "LayoutModel",
      "state": {}
     },
     "e7dc4fefb39b46f0937d53fc1d14b96a": {
      "model_module": "@jupyter-widgets/controls",
      "model_module_version": "1.2.0",
      "model_name": "SliderStyleModel",
      "state": {
       "description_width": ""
      }
     },
     "ef33e38a47f140f48d3834950d248b4b": {
      "model_module": "@jupyter-widgets/base",
      "model_module_version": "1.0.0",
      "model_name": "LayoutModel",
      "state": {}
     },
     "f1dcbfc2b67044bbbd98b2ef8eca0f33": {
      "model_module": "@jupyter-widgets/controls",
      "model_module_version": "1.2.0",
      "model_name": "VBoxModel",
      "state": {
       "_dom_classes": [
        "widget-interact"
       ],
       "children": [
        "IPY_MODEL_c017264be3124c2ca9779f42f2ff4183",
        "IPY_MODEL_84247524e9b74c59ad0be0743185955f"
       ],
       "layout": "IPY_MODEL_c25141eb4f8745499a29d372c65d7fb5"
      }
     },
     "f5790a45d81b43018f2203ce8938bac0": {
      "model_module": "@jupyter-widgets/controls",
      "model_module_version": "1.2.0",
      "model_name": "SliderStyleModel",
      "state": {
       "description_width": ""
      }
     },
     "f5e6ad9595794818b8beb977e8dc20ce": {
      "model_module": "@jupyter-widgets/output",
      "model_module_version": "1.0.0",
      "model_name": "OutputModel",
      "state": {
       "layout": "IPY_MODEL_7233ac475786424982ecb7ad194f9e51",
       "outputs": [
        {
         "data": {
          "image/png": 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\n",
          "text/plain": "Graphics object consisting of 8 graphics primitives"
         },
         "metadata": {},
         "output_type": "display_data"
        }
       ]
      }
     },
     "fe8bf3c4b2d94674aea715dafc4f0dd5": {
      "model_module": "@jupyter-widgets/base",
      "model_module_version": "1.0.0",
      "model_name": "LayoutModel",
      "state": {}
     }
    },
    "version_major": 2,
    "version_minor": 0
   }
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}