Two models of a product $$ Regular $($X$)$ and Deluxe $($Y$)$ are produced by a company. A linear programming model is used to determine the production schedule. The formulation is as follows:

Maximize profit $=50$X $+60$Y

Subject to: $8$X $+10$Y $<=800($labor hours$)$

X $+$ Y $<=120($total units demanded$)$

$4$X $+5$Y $<=500($raw materials$)$

all variable $>=0$

The optimal solution is X $=100,$ Y $=0.$

How many units of the regular model would be produced based on this solution?