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1. Explain in your own words what the roles of the objective function and constraint are in a constrained optimization problem. What kinds of mathematical

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1. Explain in your own words what the roles of the objective function and constraint are in a constrained optimization problem. What kinds of mathematical objects are they? 2. According to the method of Lagrange multipliers, when solving an optimization problem with objective function f and constraint 9, one should look for constants A such that Vf : AVg. Why is this

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