Technical Note—Price and Production Decisions with Random Demand

This note studies the problem of setting price and production levels simultaneously in a series of N periods, where price is a parameter in the probability distribution of demand. It develops a simple policy characterized by two stock levels and an optimal price line in the price-inventory plane, gives an algorithm to compute such a policy and check conditions for its optimality, and presents a counterexample to the simple policy, using a small set of allowable prices, along with a discussion of both the counterexample and some characteristics of the model.