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. (Round your final answer to the nearest whole number.) Economic order quantity bags
b. What is the average number of bags on hand? (Round your final answer to the nearest whole number.) Average number of bags
c. How many orders per year will there be? (Round your final answer to the nearest whole number.) Number of orders per year
d. Compute the total cost of ordering and carrying flour.

Answer 1

Answer and Explanation:

The computation is shown below

a. The economic order quantity is

= sqrt ((2 × annual demand × ordering cost) ÷ carrying cost)

= sqrt ((2 × 1,215 × $10) ÷ $75)

=  18 units

b) Average number of bags on hand is

= EOQ ÷ 2

= 18 ÷ 2

= 9

c) Orders per year is

= D ÷ EOQ

= 1215 ÷ 18

= 67.5

= 68

d) Total cost = Total carrying cost+ Total ordering cost

= (Q ÷ 2)H +(D ÷ Q)S

= (18 ÷ 2)75 + (1215 ÷ 18) × 10

= 675 + 675

= $1350