Question: Consider the single sampling plan with n = 10 and c = 0.
a. Derive an analytical expression for the OC curve as a function of p.
b. Using the results of Problem, determine the value of p at which the AOQ curve is a maximum.
c. Using the results of parts (a) and (b), determine the maximum value of the average outgoing quality.
Problem: If defective items are replaced and N >> n, show by differential calculus that the value of p for which AOQ(p) achieves its maximum value satisfies
dOC(p) = - OC(p)
dp p