Just need help with the Objective function. The Athens requires 4 feet of fancy molding and takes 4 hours to manufacture. The Barcelona needs 15 feet of molding and 3 hours to manufacture. In a given week, there are 120 hours of labor available and the company has 360 feet of molding to use for the entertainment centers. The company makes a profit of $9 on the Athens and $12 on the Barcelona. How many of each model should the company manufacture to maximize its profit? for the Constrain I have 120 hours, 360 ft, 4a+3b=0. will the objective function will be company manufacture to maximize its profit?

Question

Just need help with the Objective function. The Athens requires 4 feet of fancy molding and takes 4 hours to manufacture. The Barcelona needs 15 feet of molding and 3 hours to manufacture. In a given week, there are 120 hours of labor available and the company has 360 feet of molding to use for the entertainment centers. The company makes a profit of $9 on the Athens and $12 on the Barcelona. How many of each model should the company manufacture to maximize its profit? for the Constrain I have 120 hours, 360 ft, 4a+3b<=120, 4a+15b<=120, A>=0 , B>=0. will the objective function will be company manufacture to maximize its profit?