A furniture maker has three main products they make: Chairs, Tables, and Desks. He has three major components for each of those products: large wood panels, small wood panels, and legs.

He uses $1$ large wood panel and two small wood panels along with $4$ legs to make a chair. The profit margin for chairs is $$75$ per unit.

For a table, he uses $2$ large wood panels, two small wood panels and $4$ legs to make a table. Profit margin for tables is $$125$ per unit.

A desk requires $2$ large wood panels, $3$ small wood panels and $4$ legs. The profit margin for desks is $$150$ per unit.

The available quantity per day of large wood panels is $250$; small wood panels is $300,$ and legs is $350.$ Assume each day starts with the same number of available panels, and that there is unlimited demand for the chairs, tables, and desks.