A single variable sampling plan with a polynomial loss function is studied. The variable measured from each item of a 2 batch follows a normal distribution N(m,t2) where m has a normal prior distribution, and t2has either a uniform prior distribution or a two-parameter exponential prior distribution. An algorithm for the determination of an optimal sampling planis given. The algorithm isfinite, i.e. an optimal solution can be obtained after a finite number of steps of searching. 371 Copyright 1993 by Marcel Dekker, Inc