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.