Maximize profit Resource You are given the following problem Max Z$=80$ X$1+50$ X$2+75$ X$3$ ST $3$ X$1+3$ X$2+7$X$3<=1500$; $2$ X$1+$X$2+2$ X$3<1000$; $5$ X$1+3$ X$2+4$ X$3<=1000$; $0\mathrm{.}5$ X$1-0\mathrm{.}5$ X$2+0\mathrm{.}25$ X$3=50$ Resource $2$ Resource $3$ Product mix The base prices for Resource $1-3$ are $$30,$ $$40,$ and $$80,$ respectively