Answer:
LEXINGTON TIRE provides a higher unit cost but, a lower inventory cost overall considering the ordering, holding cost, and administrative cost generated.
The company should pick LEXINGTON TIRE
Step-by-step explanation:
LEXINGTON TIRE
SHIPPING QUANTITY PER SHIPMENT 2,000
SHIPPING COSTS 18,000
PRICE per TIRE 30
INVENTORY HOLD COSTS (H) 6.00
LEAD TIME (DAYS) 6
ADMIN. COSTS 15,000
Total cost: 25,000 / 2,000 = 12.5 per year
shipment cost: $18,000 per shipment x 12.5 per year = 225,000
Materials cost:
25,000 tires x $30 per tire = 750,000
Holding cost:
lead time + average inventory
6 days x 100 tires + 2,000 tires / 2 = 1,600 tires on average
times $6 holding cost = 9,600
Total cost: Inventory 225,000 + 750,000 materials + 9,600 holding + 15,000 admin
total 999,600
IRMO AUTO
SHIPPING QUANTITY PER SHIPMENT 1,000
SHIPPING COSTS 25,000
PRICE per TIRE 29(p)
INVENTORY HOLD COSTS (H) 5.80
LEAD TIME (DAYS) 4
ADMIN. COSTS 18,000
Shipping per year: 25,000 / 1,000 = 25
Ordering cost: 25 shipment x 25,000 = 625,000
Materials:
25,000 x 29 = 725,000
Holding:
lead time + average inventory
4 days x 100 + 1000/2 = 900 units on inventory throughout the year
Holding cost: 900 x $5.80 = 5,220
Total Inventory cost:
Ordering 625,000 + materials 725,000 + 5,220 holding + 18,000 admin
total = 1,355,220