The following is relevant for Item X:

$$ Production is at a rate of $500$ units per week.

$$ Demand is $10,000$ units per annum; evenly spread over $50$ working weeks.

$$ Setup cost is $$2,700$ per batch.

$$ Storage cost is $$2\mathrm{.}50$ per unit for a year.

Required:

Calculate the economic batch quantity $($EBQ$)$ for Item X$.$