Prince Electronics, a manufacturer of consumer electronic goods, has five distribution centers in different regions of the country. For one of its products, a highspeed modem priced at $330 per unit, the average weekly demand at each distribution center is 70 units. Average shipment size to each distribution center is 350 units, and average lead time for delivery is 2 weeks. Each distribution center carries 2 weeks' supply as safety stock but holds no anticipatory inventory. a. On average, how many dollars of pipeline inventory will be in transit to each distribution center?b. How much total inventory (cycle, safety, and pipeline) does Prince hold for all five distribution centers?

a. $231,000

b. 2,450 units

Explanation:

a. On average, how many dollars of pipeline inventory will be in transit to each distribution center?

This is the inventory level that has to be in transit every 2 weeks in order to meet average demand. This can be calculated as follows:

Pipeline inventory = Number of distribution centers * Price per unit * Average weekly demand * Average delivery lead time = 5 * $330 * 70 * 2 = $231,000.

Therefore, the dollars of pipeline inventory that will be in transit to each distribution center is $231,000.

b. How much total inventory (cycle, safety, and pipeline) does Prince hold for all five distribution centers?

Inventory in hand = Average shipment size *  Number of distribution centers = 350 * 5 = 1,750

Safety inventory = Number of distribution centers * Average weekly demand * Average delivery lead time = 5 * 70 * 2 = 700

Note: Safety inventory is the inventory held in the store for the purpose of meeting rise in demand or for overcoming delay in supply.

Inventory cycle = Inventory in hand - safety inventory = 1,750 - 700 = 1,050

Pipeline inventory = Number of distribution centers * Average weekly demand * Average delivery lead time = 5 * 70 * 2 = 700

Total inventory held = Inventory cycle + Safety inventory + Pipeline inventory = 1,050 + 700 + 700 = 2,450 units.

Therefore, the total inventory (cycle, safety, and pipeline) Prince holds for all five distribution centers is 2,450 units.

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