A boutique uses simple exponential smoothing approaches to predict the number of shoppers. June's estimation of $516$ shoppers was too pessimistic, with a gap of twenty compared to the actual shoppers. If the forecast for July is $522,$ the smoothing constant is equal to A$.0\mathrm{.}20$ B$.0\mathrm{.}30$ C$.0\mathrm{.}40$ D$.0\mathrm{.}50$