The optimization problem min f(x,y) s.t. c_i(x,y) =0 x integer is equivalent to which of the following optimization problems? Choose the correct answer Option A.

The optimization problem min f(x,y) s.t. c_i(x,y) <= 0 for i=1,...,m y >=0 x integer is equivalent to which of the following optimization problems?

Choose the correct answer Option A. min z s.t. f(x,y)<= z, c_i(x,y) <= 0 for i=1,...m, y=0, x integer Option B. min z s.t. f(x,y)>= z, c_i(x,y) <= 0 for i=1,..,. m, z, y>=0, x integer Option C. min z s. t. f(x,y|<= z, c_i(x,y) <= 0 for i=1,..,m, y>=0, x, z integer Option D. min z s.t. f(x,y) >= z, c_i(x,y) <= 0 for i=1,...,m, y>=0, x integer

please also explain some discription about this