Question

The annual demand for a product has been projected at 2,000 units. This demand is assumed to be constant throughout the year. The ordering cost is $20 per order, and the holding cost is 20 percent of the purchase cost. Currently, the purchase cost is $40 per unit. There are 250 working days per year. Whenever an order is placed, it is known that the entire order will arrive on a truck in 6 days. How many units should the company order each time an order is placed if the company wishes to minimize total inventory cost?

Answer 1

Answer:

The company should order 100 units to minimize total inventory cost.

Explanation:

Given,

Annual Demand, D = 2,000 units

Order cost, S = $20

Purchase cost = $40

Holding cost, H = Purchase cost x percentage of holding cost

Holding cost = $40 × 20%

Holding cost = $8

We know, the company should order the highest number of products with a minimum cost, and for that, the company uses economic order quantity. Hence,

Economic Order Quantity (EOQ) = $\sqrt\frac{2*D*S}{H} }$

EOQ = $\sqrt \frac{2*2,000*20}{8}$

EOQ = $\sqrt{10,000}$

EOQ = 100