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please write python code for the following linear optimization problem. When hand solving this problem, the simplex method is used (not sure if this is

please write python code for the following linear optimization problem. When hand solving this problem, the simplex method is used (not sure if this is relevant). To write code for this, i believe the pyomo or PuLP package can be utilized.
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the answer will be the following:
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minimize: z= 10x, + 2x2 - X3 subject to: x1 + x2

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