Answer:
The closest answer is 49.
Explanation:
Given that,
Annual demand, D = 43,000 units
Ordering cost, O = $200
Per unit cost of the item = $50
Annual holding cost, H = annual holding rate × Per unit cost of the item
= 35% × $50
= $17.5
[tex]EOQ=\sqrt{\frac{2\times D\times O}{H} }[/tex]
[tex]EOQ=\sqrt{\frac{2\times 43,000\times 200}{17.5} }[/tex]
= 991.39
= 992 units
Therefore,
Number of orders per year = Annual demand ÷ EOQ
= 43,000 ÷ 992
= 43.34
Hence, the closest answer is 49 and this is not given in the question.