Question

Mark Achin sells 3,600 electric motors each year. The cost of these is $200 each, and demand is constant throughout the year. The cost of placing an order is $40, while the holding cost is $20 per unit per year. There are 360 working days per year and the lead-time is 5 days. If Mark orders 200 units each time he places an order, what would his average inventory be (in units)?a. 100. b. 200.c. 60 d. 120.e. none of the above.

Answer 1

Answer:

A) 100

Explanation:

total sales 3,600 units

cost per unit $200

cost of placing order $40

holding cost $20 per year

working days 360 per year

lead time 5 days

If Mark orders 200 units each time, his average inventory ?

daily sales = total sales / working days = 3,600 / 360 = 10 units per day

number of orders per year = 3,600 / 200 = 18

Mark places one order every = 360 days / 18 orders = 20 days

average inventory = (200 units / 20 days) x 10 days = 100

I assume that mark has some type of safety stock that allows him to hold enough inventory to cover for the 5 day lead time.