Question

Custom Computers, Inc. assembles custom home computer systems. The heat sinks needed are bought for $14 each and are ordered in quantities of 1200 units. Annual demand is 6200 heat sinks, the annual inventory holding cost rate is $2 per unit, and the cost to place an order is estimated to be $60. Calculate the following:
A) Economic order quantity=
B) Average inventory level=
C) The number of orders placed per year=
D) The total annual inventory holding cost=
E) The total annual ordering cost=
F) The total annual cost=

Answer 1

Answer:

EOQ = 609.91 units

Average inventory= 600 units

Number of orders = 5.2 times

Annual inventory holding cost =$1,200

Annual ordering cost = $312

Total cost = $88,312

Explanation:

EOQ =√ (2× Co× D)/Ch

EOQ= ? , Co-60, Ch- 2, D- 6200

EOQ = √(2× 60× 6200/2)

EOQ = 609.9180273

Average inventory =  minimum level +EOQ/2

= 1200 /2 = 600 units

Number of orders = Annual demand/ order quantity

                     = 6,200/1200 =  5.166

Number of orders = 5.2 times

Annual inventory holding cost = Average inventory × holding cost per unit

        =600 × $2 =$1,200

Annual ordering cost = No of orders × ordering cost per order

                        = 5.2 times × 2 =$312

Annual inventory cost = Purchase cost + Ordering cost + Holding cost

Purchase cost=Annual demand× unit price 14× 6200= 86,800

Total cost = 86,800  + $1,200+ $312

                =88312