Consider the following primal linear program: maxsubjectto2x1x2+x32x1+x210x1+2x22x320x2+2x35x1,x2,x30 1. Write the corresponding dual formulation. 2. Find the values of the dual variables by solving the primal problem and show that strong duality holds true in this case, that is, the optimal objective value of the primal equals to the optimal objective value of the dual. (you will only need to solve the primal problem)