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   "source": [
    "# Quiz 3 Support"
   ]
  },
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   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "(1)   $ Y = K^{\\alpha}(EL)^{1-\\alpha} $\n",
    "\n",
    " \n",
    "\n",
    "(2)   $\\frac{Y}{L} = \\left(\\frac{K}{L}\\right)^{\\alpha}E $\n",
    "\n",
    " \n",
    "\n",
    "(3)   $ln(Y) = \\left(\\frac{\\alpha}{1-\\alpha}\\right)ln(K) + ln(L) + ln(E) $\n",
    "\n",
    "----"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "(1)   $ \\left(\\frac{Y}{L}\\right)^* = \\left(\\frac{s}{n+g+\\delta}\\right)^\\left(\\frac{\\alpha}{1-\\alpha}\\right)E $\n",
    "\n",
    " \n",
    "\n",
    "(2)   $ \\left(\\frac{K}{Y}\\right)^* = \\frac{s}{n+g+\\delta} $\n",
    "\n",
    " \n",
    "\n",
    "(3)   $ {\\left(\\frac{K}{Y}\\right)^*}^{\\alpha} = \\frac{s}{n+g+\\delta} $\n",
    "\n",
    " \n",
    "\n",
    "(4)   $ \\left(\\frac{K}{Y}\\right)^* = \\frac{s}{n+g+ng+\\delta} $"
   ]
  }
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