A seat manufacturer fabricates seats for cars, vans and go-carts. The following data presented is per week. The profit for a car seat is $25 per seat and a car seat requires 6 yards of cloth, 4 hours of labor and 2 pounds of adhesive. The profit for a van seat is $48 per seat and a car seat requires 15 hours of labor, 12 yards of cloth and 5 pounds of adhesive. The profit for a go-cart seat is $24 per seat and a car seat requires 5 yards of cloth, 5 hours of labor and 2 pounds of adhesive. Labor hours available are 200 hours per week. Yards of cloth available are 160 yards per week. Adhesives available are 75 pounds per week. Once the seats are completed they then must be packaged. 120 units of packaging are available per week: a car seat requires 2 units of packaging, a van seat requires 5 units of packaging and a go-cart seat requires 4 units of packaging. This seat manufacturer has tremendous demand so it sells everything it fabricates and has no ending inventory. Formulate this problem. You do not have to solve it.

This is a linear programming problem. This is all the info that was given.