As a supervisor of a production department, you must decide the daily production totals of a certain product that has two models, the Deluxe anc Deluxe model is $$12$ per unit and the Special's profit is $$10.$ Each model goes through two phases in the production process, and there are only $10$ construction stage and only $80$ hours available at the finishing and inspection stage. Each Deluxe model requires $20$ minutes of construction time inspection time. Each Special model requires $15$ minutes of construction time and $15$ minutes of finishing and inspection time. The company has model must comprise at least $40$ percent of the production total. The optimal product mix should include

$120S\text{'}s.$

$200S\text{'}s.$

$120D\text{'}s.$

$200D\text{'}s.$