Swearingen and McDonald, a Small Furniture Manufacturer, Produces Fine Hardwood

Swearingen and McDonald, a small furniture manufacturer, produces fine hardwood tables and chairs.Each product must go through three stages of the manufacturing process: assembly, finishing, and inspection.Each table requires 12 hours of assembly, 20 hours of finishing, and 2 hours of inspection.Each chair requires 4 hours of assembly, 16 hours of finishing, and 3 hours of inspection.The profit per table is $150 while the profit per chair is $100.Currently, each week there are 300 hours of assembly time available, 220 hours of finishing time, and 30 hours of inspection time.To keep a balance, the number of chairs produced should be at least twice the number of tables.Also, the number of chairs cannot exceed 6 times the number of tables.Formulate this as a linear programming problem.Carefully define all decision variables.Find the solution.