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Diagnostic Supplies has expected sales of 98,000 units per year, carrying costs

ID: 2817012 • Letter: D

Question

Diagnostic Supplies has expected sales of 98,000 units per year, carrying costs of $5 per unit, and an ordering cost of $8 per order a. What is the economic ordering quantity? Economic ordering quantity b-1. What is the average inventory? Average inventory units b-2. What is the total carrying cost? Total carrying cost Assume an additional 70 units of inventory will be required as safety stock -1. What will the new average inventory be? Average inventory c-2. What will the new total carrying cost be? Total carrving cost

Explanation / Answer

EOQ = square root of (2*annual demand*ordering cost per order) / (holding cost per square foot)

Square root of (2*98000*8)/ (5)

560

average inventory

quantity ordered/2

560/2

280

total carrying cost

average inventory*carrying cost per unit

280*5

1400

average inventory with safety stock

(quantity ordered/2)+safety stock

(560/2)+70

350

total carrying cost

(quantity ordered/2)+safety stock

350*5

1750

EOQ = square root of (2*annual demand*ordering cost per order) / (holding cost per square foot)

Square root of (2*98000*8)/ (5)

560

average inventory

quantity ordered/2

560/2

280

total carrying cost

average inventory*carrying cost per unit

280*5

1400

average inventory with safety stock

(quantity ordered/2)+safety stock

(560/2)+70

350

total carrying cost

(quantity ordered/2)+safety stock

350*5

1750