4) Model the linear programming problem for th following scenario: (8 marks) *Do not attempt to solve. Write the objective function and the constraints only. (10 min) A division of the Winston Furniture Company manufactures dining tables and chairs. Each table requires 50 board feet of wood and 2 labor-hours. Each chair requires 25 board feet of wood and 6 labor-hours. The profit for each table is $48. and the profit for each chair is $23. In a certain week, the company has 3600 board feet of wood available, and 580 labor-hours. The manager wants to know the LP formulation in order to maximize its profits