The Pinewood Furniture Company produces chairs and tables from two resources labor and wood. The company has $80$ hours of labor and $36$ board ft of wood available each day. Demand lor chairs is limited to $6$ per day. Each chair requires $8$ hours of labor and $2$ board ft of wood, whereas a table requires $10$ hours of labor and $8$ board ft of wood. The profit derived from each chair is $$400$ and from each table, $$100.$ The company wants to determine the number of chairs and tables to produce each day in order to maximize profit Formulate a linear programming model for the above situation by determine The decision variables. The objective function. All the constraints.