Question: 1. In this problem you will show that the standard solvers have a hard time solving nonconvex optimization problems. For each of the below optimization

1. In this problem you will show that the

1. In this problem you will show that the standard solvers have a hard time solving nonconvex optimization problems. For each of the below optimization problems, plug it into the solver and test out different initialization points and algorithms. If using Excel, use the Nonlinear GRG method with different initial points. If using the Python solver, test out different initial points along with different algorithms (specified by the "method" parameter). (a) Consider the optimization problem min sin() . s.t. IER Show that standard algorithms output different solutions for this problem, and give an explanation for this instability. (Hint: plot the objective function to visualize its shape.) (b) Consider the optimization problem min 12 s.t. sin(x)

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