Question

Maria's Candle Company manufactures candles. The company buys wax in 45-Kilogram containers that cost $17 each....

Maria's Candle Company manufactures candles. The company buys wax in 45-Kilogram containers that cost $17 each. The company uses 25,000 containers per year, and usage occurs evenly throughout the year. The average cost to carry a 45-Kilogram container in inventory per year is $3, and the cost to place an order is $9. The company works 250 days per year.

The economic order quantity (rounded) is

a.

1,000 containers.

b.

750 containers.

c.

45 containers.

d.

387 containers.

The lead time is 4 working days and the average rate of usage is 60 containers per day. What is the reorder point?

a.

240 containers

b.

260 containers

c.

220 containers

d.

200 containers

The lead time is 4 working days, the average rate of usage is 60 containers per day, and the company carries a safety stock of 25 containers. What is the reorder point?

a.

285 containers

b.

245 containers

c.

265 containers

d.

225 containers

Homework Answers

Answer #1

Answer 1.

Annual usage = 25,000 containers
Annual carrying cost per container = $3
Ordering cost per order = $9

Economic order quantity = (2 * Annual usage * Ordering cost per order / Annual carrying cost per container)^(1/2)
Economic order quantity = (2 * 25,000 * $9 / $3)^(1/2)
Economic order quantity = 150,000^(1/2)
Economic order quantity = 387 containers

Answer 2.

Average daily usage = 60 containers
Lead time = 4 days

Reorder point = Average daily usage * Lead time
Reorder point = 60 * 4
Reorder point = 240 containers

Answer 3.

Average daily usage = 60 containers
Lead time = 4 days
Safety stock = 25 containers

Reorder point = Average daily usage * Lead time + Safety stock
Reorder point = 60 * 4 + 25
Reorder point = 265 containers

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