Solve the following optimization problems. Make sure to determine an optimal primal solution. 1. Show that, for given scalars , , 2. Show that for

Solve the following optimization problems. Make sure to determine an optimal primal solution.

1. Show that, for given scalars α, β,

2. Show that for an arbitrary vector z ∈ R^m,

3. Show that for an arbitrary vector z ∈ R^m, we have

f(a, b) = min ad + d>0 B d 88 if a 0 2B otherwise.