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Update Beyond_Linear_Programming.ipynb
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examples/mp/jupyter/tutorials/Beyond_Linear_Programming.ipynb

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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"### Rouding a fractional solution\n",
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"### Rounding a fractional solution\n",
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"An idea that often comes up to deal with fractional solutions is to solve an LP and then round the fractional numbers in order to find an integer solution. However, because the optimal solution is always on the edge of the feasible region, rounding can lead to an infeasible solution, that is, a solution that lies outside the feasible region. In the case of the telephone problem, rounding would produce infeasible results for both types of phones. \n",
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"To optimize a portfolio in terms of risk and return, an investor will evaluate the sum of expected returns of the securities, the total variances of the securities, and the covariances of the securities. A portfolio that contains a large number of positively covariant securities is more risky (and potentially more rewarding) than one that contains a mix of positively and negatively covariant securities. \n",
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"### Potfolio optimization: what use?\n",
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"### Uses of portfolio optimization\n",
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"Portfolio optimization is used to select securities to maximize the rate of return, while managing the volatility of the portfolio and remaining within the investment budget. \n",
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