pls answer using formulation model

Question 1 20 points Save Answer Latdril Company manufactures five parts that require the use of a lathe and a drill press. The two machines operate 12 hours a day. The following table provides the time in minutes required by each part: Production time (in minutes) Part Lathe Drill Press 1 5 2 5 3 3 6 8 4 5 14 Below are the priority goals of the company: 14 Below are the priority goals of the company: Priority Goal 1: Production time for both machines should at most 12 hours. Priority Goal 2: Balance the two machines by limiting the difference between their total operation times to at most 45 minutes. Priority Goal 3: The market demand for each part is at least 12 units. Priority Goal 4: The number of units of Part 1 may not exceed that of Part 2. Formulate the problem as a goal programming model