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A distributor of consumer-electronics goods has found that the average demand of a particular product is 280 units per week. However, the daily sales volume fluctuates a lot and the estimated standard deviation of daily demand is 5. For this product the distributor uses a fixed quantity inventory model. Once the inventory level falls below a threshold, they place an order to the supplier and it takes 2 weeks to get replenishment (this does not vary as the supplier is very reliable). Also, each time a replenishment order is placed is costs the distributor $500 for processing the order (not the purchase price). The distributor can order in larger quantity to reduce processing costs, but its costs $4 to hold one unit of the inventory for a year. Unit purchase price the product is $120. The probability of stock-out should be no more than 1%.
Use 7 days in a week and 52 weeks in a year in your calculations. Z0.95 = 1.645 and Z0.99 = 2.326.
How many units should be ordered each time?
When a new order should be placed?
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