$4$ Zales Jewelers uses rubies and sapphires to produce two types of rings. A Type $1$ ring requires $2$ rubies, $3$ sapphires, and $1$ hour of jeweler's labor. A Type $2$ ring requires $3$ rubies, $2$ sapphires, and $2$ hours of jeweler's labor. Each Type $1$ ring sells for $$400$ ; type $2$ sells for $$500.$ All rings Produced by zales can be sold Suppose that instead of $$100,$ each ruby costs $$190.$ Would Zales still purchase rubies?