Answer:
a) the order size of item X should be 137 units
b) the annual ordering cost for item X is $ 272.99
c) the annual holding cost for item X is $ 274
Explanation:
Given the data in the question;
a) Whenever item X is ordered, what should the order size be?
The Economic Order quality EOQ is the optimum quantity that should normally be ordered, its is expressed as;
[tex]Q_{opt[/tex] = √( 2DS/H)
where D is the annual demand, S is set up cost and H is the holding cost.
given that; the annual demand is 1700 units and the holding cost is $4 per unit per year, cost of placing order is $22.
So, we use the Economic Order quality EOQ;
[tex]Q_{opt[/tex] = √( 2DS/H)
we substitute
[tex]Q_{opt[/tex] = √( (2 × 1700 × 22 ) / 4)
[tex]Q_{opt[/tex] = √( 74800 / 4 )
[tex]Q_{opt[/tex] = √18700
[tex]Q_{opt[/tex] = 136.75 ≈ 137 units
Therefore, the order size of item X should be 137 units
b) What is the annual cost for ordering item X.
Annual ordering cost = actual number of placed orders × cost of each order
Annual ordering cost = D/Q × s
we substitute
Annual ordering cost = (1700 / 137) × 22
Annual ordering cost = 12.408759 × 22
Annual ordering cost = 272.99
Therefore, the annual ordering cost for item X is $ 272.99
c) What is the annual cost for storing item X.
Holding cost = average inventory × cost of storage per unit
Holding cost = Q/2 × H
we substitute
Holding cost = 137/2 × 4
Holding cost = 68.5 × 4
Holding cost = $ 274
Therefore, the annual holding cost for item X is $ 274
