Answer :
The number of orders that the company should place per year is 6.34 orders.
Economic order quantity (EOQ) = (2* yearly demand*per order fixed cost/carrying cost per unit)^(1/2)
Economic order quantity (EOQ) = (2*(32*12)*687/144)^(1/2)
Economic order quantity (EOQ) = (2*384*4.7708)^(1/2)
Economic order quantity (EOQ) = 60.530772339
Economic order quantity (EOQ) = 60.53
Number of orders to be placed = Yearly demand / EOQ
Number of orders to be placed = (32*12)/60.53
Number of orders to be placed = 6.3439616719
Number of orders to be placed = 6.34 orders.
Therefore, the number of orders that the company should place per year is 6.34 orders.
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