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. 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 (using QM on Windows and/or Excel on Windows)
b.) Solve this model using a graphical analysis.