Freeman Furniture Company makes two kinds of office furniture: chairs and desks. The company purchases finished legs, seats, and tabletops from a mass producer. Then, the company assembles chairs and desk. It takes three hours and five hours in the assembly department for each chair and desk, respectively. Before selling to final customers, each product must go through the finishing department where the last layer of paint applied. Regardless of the product, it takes four hours to paint a product. Currently, the company has $1500$ hours and $800$ hours in assembly department and finishing department, respectively. Marketing department estimates there is a demand for $400$ chairs and $150$ desks. Finally, the accounting department estimates $$150$ profit for each chair and $$240$ profit for each desk.