Question

A large bakery buys flour in 25-pound bags. The bakery uses an average of 1,215 bags a year. Preparing an order and receiving a shipment of flour involves a cost of $10 per order. Annual carrying costs are $75 per bag.
Required:
a. Determine the economic order quantity.
b. What is the average number of bags on hand?
c. How many orders per year will there be?
d. Compute the total cost of ordering and carrying flour.

Answer 1

Answer:

annual demand = 1,215 bags of flour

ordering costs = $10 per order

annual carrying costs = $75 per bag

a. Determine the economic order quantity.

EOQ = √[(2 x S x D) / H]

EOQ = √[(2 x $10 x 1,215) / $75] = 18 bags of flour

b. What is the average number of bags on hand?

average number of bags on hand = 18 / 2 = 9

c. How many orders per year will there be?

total number of orders per year = 1,215 / 18 = 67.5 orders

d. Compute the total cost of ordering and carrying flour.

total cost of ordering flour = 67.5 x $10 = $675

since we assume that the company keeps operating after the year ends, we can use fractions when calculating the number of orders per year

total cost of carrying flour = 9 x $75 = $675

total cost of ordering and carrying flour = $1,350