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 for 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 6 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.

a. formulate a linear programming model for this problem b. solve this model by using graphical analysis