OiLco is considering two potential drilling sites for reaching four targets $($possible oil wells$).$ The following table provides the preparation costs at each of the two sites and the cost of drilling from site $i$ to target $)=1,2$;$j=(1,2,3,4.$ Formulate the problem as an ILP, and find the optimum solution.

Table $11$:

$\backslash$table$[[$Site$,$Drilling cost $($million $$)$ to target,Preparation cost $($million $ $)],[\backslash$table$[[1,2]],3,4],[1,2,8,5,5],[2,4,3,1,6]]$

At most, $$12$ million can be spent.

b If DE and ST are signed, then BS cannot be signed.

c At most two right$-$handed pitchers can be signed.

d The Cubs cannot sign both BS and RS$.$