Description
1. Can linear and nonlinear optimization problems use the same approach to find a solution? For example, if the GRG algorithm is used to solve a nonlinear optimization problem, will it work to solve a linear optimization problem? Discuss whether or not the GRG algorithm will always find a corner point similar to the feasible-region approach.
2. Nonlinear optimization problems can have multiple solutions, and a solution can be local or global. Can there be multiple local solutions? Explain your answer. Can there be multiple global solutions? Explain our answer.
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Running head: LINEAR AND NON-LINEAR OPTIMIZATION
Linear and Nonlinear Optimization
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LINEAR AND NON-LINEAR OPTIMIZATION
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The same approach can be used to find a solutions for some linear and non-linear
optimization problems. For instance, the GRG (Generalized Reduced Gradient) algorithm, which
is used to solve non-linear optimization problems, can solve a linear optimization problem,
although it is slower and less reliable than the Simplex method and occasionally a Solver
Com...