This article considers the problem of valuing a supply contract that r
equires the manufacturer to deliver fixed quantities of a product acco
rding to a predetermined schedule at fixed prices. Given that the raw
material costs fluctuate randomly, the producer has capacity constrain
ts, production costs depend on production rates, and that switching pr
oduction rates result in additional charges, the problem is to establi
sh an optimal production and inventory policy such that the schedule i
s met, and the value of the contract to the firm is maximized.