Question

A North Face retail store in Chicago sells 500 jackets each month. Each jacket costs the store $100 and the company has an annual holding cost of 25 percent. The fixed cost of a replenishment order (including transportation cost) is $100. The store currently places a replenishment order for Q.
1. What is the annual holding and ordering cost?

2. On average, how long does a jacket spend in inventory?

3. If the retail store wants to minimize ordering and holding cost, what order size do you recommend?

4. How much would the optimal order reduce holding and ordering cost relative to the current policy?

Answer 1

Answer:

(1) The annual holding cost is =$6250, The ordering costs is = 500 units

(2) The total cost is = $7450

(3)224 unit

(4) $1,864.30

Explanation:

Solution

Given that:

The annual demand = 520 units * 12

= 6,240 units

The cost per order = $100 per order

The Carrying Cost = 0.25% * $100

= 25 per unit per year

Thus

(1) The Ordering quantity = 500 units every month

The annual holding cost =0.5*quantity ordered*holding cost

The  Annual Holding cost = 0.5*500*25

Annual Holding cost =$6250

(2) The  ordering (Annual)cost = number of orders *cost per order

Annual ordering cost =(500*12/500)*100

Annual ordering cost =$1200

Total cost = 6250+1200=7450

(3)Thus

EOQ=(2*D*S/h)^0.5

EOQ=(2*6240*100/25^)0.5

EOQ=223.43

=224 unit

(4)The ordering cost =(6240/224)*100=2785.70

Holding cost=0.5*224*25

=2800

Total cost= 2785.70+2800

Total cost=5585.70

Total savings = 7450 - 5585.70

= $1,864.30