The packaging process of a pharmaceutical industry is inspected on the bottles of the tablets to inspect whether the security seal is used to prevent any intervention with the product until its arrival to the right customer or not. Management has implemented a simple sampling plan to meet the following strategy. The plan must be able to reject 90% of the batches that come with a quality of 10% defective while only rejecting 5% of the batches that have quality of 1%.

1. Design a simple sampling plan that meets management strategy 2. Assume that the defective level of the process is at 5%, discuss the sampling plan obtained in part 1 in terms of the AOQ and ATI characteristics when the lot size is 10,000.