consider the following linear program, which maximizes profit for two products $($R$)$ and super$($S$)$:

MAX $5$R $+755$

s$.$t$.$

$1\mathrm{.}2$R $+1\mathrm{.}6$ S $</600$

$0\mathrm{.}8$ R$+0\mathrm{.}5$ S $</300$

$0\mathrm{.}16$ R $+0\mathrm{.}4$ S $</100$

R$,$ S $>=0$