Convex Optimization problems

(48 points) Convex Optimization problems?: For each of the following problems, determine if they are convex optimization problems or not, by looking at the constraints and the objective function. Justify your answers. (a) (8 points) min SJ}. (c) (8 points) min SJ}. x+10yz (b) (8 points) max :c+ lyz x+y+3zgl 3.1;. m+y+3221 3y2125 3y125 y2z=0 y2z=0 :i!:2+10'y'1 ]n(z) (d) (8 points) (l+y)2 x2+y2+3z251 s.t. 33y=0 3933125 e=g1 y22250