Week 7: Discussion Questions 1/2

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.

My instructor would like each answer to be a couple paragraphs in length.