4.11 Problems involving 61- and 6-norms. Formulate the following problems as LPs. Explain in detail the relation between the optimal solution of each problem and the solution of its equivalent LP. (a) Minimize | Ar - b s ((x-norm approximation). (b) Minimize |Ar - b/1 (61-norm approximation). (c) Minimize || Ar - b]|1 subject to |xx 1. (d) Minimize Ixl/1 subject to ||Ar - bla $ 1. (e) Minimize || Ar - bl/1 + ||x||8