dont have to solve for value, just setup tge ILP model

Maggie has been given 10 tasks by her supervisor that must be completed by day dt. Suppose that it is guaranteed that each task can be accomplished in pi days, where i=task1,,10. a. The objective is to complete all 10 tasks in the shortest possible time. Formulate an ILP that will allow the completion of all 10 tasks in the shortest possible time. b. Maggie was told by her supervisor that if she chooses to start task 5 before task 2 , then task 8 must also precede task 7 . Identify the additional constraints needed for this scenario. c. Suppose that task 4 cannot be started until task 3 has been completed. Also, Tasks 6 and 7 should be completed one right after the other (task 6 immediately succeeds or precedes task 7). Identify the constraints needed for this scenario. Refer to the original problem. Treat this independently d. An incentive equivalent to Sa1/ /day will be given to Maggie if she completes task i earlier than the from liem b. due date di. How will the ILP model change to ensure that she receives the largest incentive possible? Refer to the original problem. Treat this independently from Item a., Item b, and Item c