The purpose of this note is to serve as an extension to the article [1] having the same title by authors. In the study above, a newsvendor problem was considered for products with limited production quantity: both the unit selling price and customers' demand are influenced by the limited production quantity, but the production cost per unit is assumed to be constant. This paper extends that the production cost per unit is a function of production quantity and then develops to obtain a production policy such that the expected profit is maximized. This makes the previous model more reasonable and practical.