Formulate but do not solve the following exercise as a linear programming problem. Acoustical Company manufactures a CD storage cabinet that can be bought fully assembled or as a kit. Each cabinet is processed in the fabrications department and the assembly department. If the fabrication department manufactures only fully assembled cabinets, it can produce 200 units/day; and if it manufactures only kits, it can produce 200 units/day. If the assembly department produces only fully assembled cabinets, it can produce 120 units/day; but if it produces only kits, then it can produce 280 units/day. Each fully assembled cabinet contributes $50 to the profits of the company, whereas each kit contributes $45 to its profits. How many fully assembled units x and how many kits y should the company produce per day to maximize its profits P in dollars? Maximize P = 50x + 45y subject to the constraints fabrications department x + y