$(30$ points$)$ The fixed costs for a plant producing the Mowbot are $$630,\frac{000}{?}$ vear. The material cost per unit is $$390,$ perishable tooling cost per unit is $$45,$ and the variable labor cost per unit is $$270.$ The Mowbot is sold to distributors for $$1049$ per unit. How many units per year must be produced and sold before the plant begins to make a profit?