please have it handwritten and show all work so I can upvote and give thumbs up

(4) (a) Find the dual of the following LP. (4 points) maxs.t.z=6x1+10x2+9x3+20x44x1+9x2+7x3+10x4600x1+x2+3x3+40x44003x1+4x2+2x3+x4500x1,x2,x3,x40 (b) The optimal primal solution is z=32800,x1=3400,x4=320,s3=3280 and x2=x3=s1=s2=0, using that and the Theorem of Complementary Slackness, find the optimal solution and optimal value to the dual problem. (2.5 points)