The Pine Furniture Company makes fine country furniture. The company$$s current product lines consist of end tables, coffee tables, and dining room tables. The production of each of these tables requires $8,15,$ and $80$ pounds of pine wood, respectively. The tables are handmade and require one hour, two hours, and four hours, respectively. Each table sold generates $$50,$ $$100,$ and $$220$ profit, respectively. The company has $3,500$ pounds of pine wood and $300$ hours of labor available for the coming week$$s production. The chief operating officer $($COO$)$ has asked you to do some spreadsheet modeling with these data to analyze what the product mix should be for the coming week and make a recommendation.