Question

A product has a demand of 4000 units per year. Ordering cost is $20 per order, and holding cost is $4 per unit per year. The EOQ model is appropriate. The cost-minimizing solution for this product will cost ________ per year in total annual inventory (holding and ordering) costs. $1200 $800 $400 Cannot be determined because the unit price is not known. Zero; this is a class C item

Answer 1

the Annual inventory cost is $800.

Step-by-step explanation:

The computation of the total annual inventory cost is given below:

Demand, D = 4000

Order cost, S = $ 20

Holding cost, H = $ 4

So,

EOQ = sqrt(2 ×D × S ÷ H)

= sqrt(2 × 4000 × 20 ÷ 4)

= 200

Now

Annual inventory cost = Annual setup cost + Annual holding cost

= (D ÷ Q × S) + (Q ÷ 2 × H)

= (4000 ÷ 200 × 20) + (200 ÷ 2 × 4)

= 400 + 400

= $800

hence, the Annual inventory cost is $800.