A small compnay will be introducing a new line of lightweight bicyles frames to be made from special aluminum and steel alloys. The frames will be produced in two models, deluxe and professional, with anticipated unit profits if $10 and $15, respectively. The number of pounds of aluminum alloy and steel alloy needed per deluxe frame is 2 and 3, respectively. The number of pounds of aluminum alloy and steel alloy needed per professional frame is 4 and 2. A supplier delivers 100 pounds of the aluminum alloy and 80 pounds of steel alloy weekly. Develop a linear programming model to determine the weekly production schedule so that the total profit can be maximized. You do not need to solve the model.