Question: 2. [10 points] For each of the following constraints, give an equivalent DCP compliant formulation. You are allowed to introduce additional variables and use

2. [10 points] For each of the following constraints, give an equivalent

2. [10 points] For each of the following constraints, give an equivalent DCP compliant formulation. You are allowed to introduce additional variables and use functions/sets already defined in CVX. You need to clearly state why the reformulation is equivalent and what rules you use to establish DCP compliance. Simply giving the final formulation will receive no credit. (a) Let a R", y R, z R, and t ER be optimization variables. Reformulate the following constraints: log(yz-xx) t, y > 0, z > 0. (b) Let a R", y ER, and t ER be optimization variables. Let p > 1 be a given constant. Reformulate the following constraints: (yP-||||P)/P>t, y ||x||p, t20.

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