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13. Fisk Corporation is trying to improve its inventory control system and has i

ID: 2743146 • Letter: 1

Question

13.    Fisk Corporation is trying to improve its inventory control system and has installed an online computer at its retail stores. Fisk anticipates sales of 75,000 units per year, an ordering cost of $8 per order, and carrying costs of $1.20 per unit.

         a.      What is the economic ordering quantity?

         b.      How many orders will be placed during the year?

         c.      What will the average inventory be?

         d.      What is the total cost of ordering and carrying inventory?

Explanation / Answer

Answer to Part a )

EOQ = SQRT(2 × Quantity × Cost Per Order / Carrying Cost Per Order)

EOQ = SQRT (2 * 75,000 * 8/1.20)

EOQ = SQRT (1,000,000)

EOQ = 1000 units

Answer to Part b)

No of Orders = Total Quanity / EOQ

No of Orders= 75,000 / 1,000

No of Orders = 75

Answer to Part c)

Average Inventory = EOQ /2

Average Inventory = 1,000 / 2

Average Inventory = 500 Units

Answer to Part d)

Ordering cost = No of Orders * Ordering Cost

Ordering cost = 75 * 8

Ordering cost = $ 600

Carrying Cost = Average Inventory * Carring cost per unit

Carrying Cost = 500 * 1.20

Carrying Cost = $ 600

Total cost of ordering and carrying inventory = $ 600 + $ 600 = $ 1,200

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