Question: 1. [7] A linear program is an optimization problem whose objective and constraints are linear functions. Linear programs are a fundamental class of optimization problems

1. [7] A linear program is an optimization problem whose objective and constraints are linear functions. Linear programs are a fundamental class of optimization problems with tons of applications to theoretical and applied optimization. They are sufficiently important that Microsoft Excel (and presumably other spreadsheet applications) has a built in linear-program solver. In this problem, we will solve a simple linear program with techniques from this class. Solve the following linear program using the method of Lagrange multipliers and slack vari- ables. max 3x + 2y s.t. aty

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