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

MAx$5R+75S$

s$.$t$.$

$1\mathrm{.}2R+1\mathrm{.}6S600$ assembly $($hours$)$

$0\mathrm{.}8R+0\mathrm{.}5S300$ paint $($hours$)$

$0\mathrm{.}16R+0\mathrm{.}4S100$ inspection $($hours$)$

$R,S0$

How many variables will the dual of the above problem have?

$1$

$2$

$3$

$4$

None of the above