Reference no: EM131942324
A retail store has an annual demand for 30,000 units of one of its products ordered from a wholesaler at a unit cost of $25. The cost of ordering has been estimated to be $10 per order.
The company is fortunate in that if the item is not on hand when demanded the customer will wait until the next shipment.
Administrative costs of backordering average $6 per unit per week.
In addition to this, the retailer reduces the price of the product by $1 per unit for every week that delivery is delayed in order to keep the customer waiting for the order.
Storage costs amount to $0.05 per unit per day.
Assume a year has exactly 52 weeks or 364 days.
Find:
the optimal order quantity
the optimal backorder quantity
the maximum number of units that will be in stock
the length of the inventory cycle
the fraction of time a customer has to wait to have his order filled.
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