Solve the following three inventory/scheduling problems: 1 - ROP (Re-Order Point) Problem: A particular type and color of the ubiquitous universal widget is purchased in lots of 3,000. The annual demand is continuous and constant at 21,000. The replenishment lead-time is 3 months. What is the re-order point (ROP) in term of inventory position (OH+00)? 2 - Resource Scheduling Problem: Your manager gave you the schedule below and asked you to sequence the production jobs such that the maximum lateness from these jobs is minimized. What sequence you will use to minimize the maximum lateness? Also calculate the maximum lateness for your recommended sequence. Jobs (i) Processing Time (P.) Due date (dj) 3 hrs. 3 hrs. 2 4 hrs. 2 hr. 3 1 hr. 5 hrs