It is observed that large piles of consumer goods displayed in supermarkets
lead consumers to buy more, which generates more profit to sellers. But a
large number of on-hand display of stock leaves a negative impression on the
buyer. Also, the amount of shelf or display space is limited. Due to this
reason, we impose a restriction on the number of on-hand display of stock and
also on initial and ending on-hand stock levels. We introduce an economic
production lot size model, where production rate depends on stock and selling
price per unit. A constant fraction deterioration rate is considered in this
model. To illustrate the results of the model, four numerical examples are
established. Sensitivity analysis of the changes of parameter values is also
given.