consider the following linear program, which maximizes profit for two products$($R$)$ and super$($S$)$: MAX $5$R $+75$S

s$.$t$.$

$1\mathrm{.}2$ R $+1\mathrm{.}6$ S$<600$ assembly $($hours$),0\mathrm{.}8$R $+0\mathrm{.}5$ S $<300$ paint$($hours$)$