answer all questions with explanation

A single sampling plan with lot size, N = 10,000 is preferred with a consumer's risk of 0.10 of accepting 3.0% nonconforming units and a producer's risk of 0.05 of not accepting 0.7% nonconforming unit. (i) Determine the plan with the lowest sample size. (6 marks) (ii) Determine the sampling plan that exactly meets the producer's stipulation and comes as close as possible to the consumer's stipulation. (7 marks) (iii) Determine the sampling plan that exactly meets the consumer's stipulation and comes as close as possible to the producer's stipulation