Past exam of the Probability, statistics and options II course of the University of Oxford / 2007 / T / 2 / b / ii / Solution

The last objective row is $z+x_2+s_1+s_2=51$. Every feasible solution has nonnegative $x_2,s_1,s_2$, so $z\le 51$. The displayed basic feasible solution has all three zero and attains 51, proving optimality. Equivalently, the resource dual prices $(1,1)$ give the same upper bound $33+18=51$ and satisfy complementary slackness.