Please show goal constraints, system constraints, objective function

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: Part 1 2 3 4 5 Production time (in minutes) Lathe Drill Press 5 5 8 14 3 6 14 Below are the priority goals of the company: 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