Question: The Limewood Furniture Company produces tables and chairs from two resources: labor and wood. The company has 80 hours of labor and 34 pounds of wood available each day. Demand for chairs is limited to 6 per day. Each chair requires 8 hours of labor and 2 pounds of wood to produce, whereas a table requires 10 hours of labor and 7 pounds of wood. The profit from each chair is $350 and from each table is $150. The company wants to determine the number of chairs and tables to produce to maximize profit.

a) Formulate a linear programming model for this problem.

b) Solve this model using graphical analysis.