Suppose Stanley's Office Supply purchases $50,000$ boxes of pens every year. Ordering costs are $$100$ per order and carrying costs are $$0\mathrm{.}40$ per box. Moreover, management has determined that the EOQ is $5,000$ boxes. The vendor now offers a quantity discount of $$0\mathrm{.}20$ per box if the company buys pens in order sizes of $10,000$ boxes. Determine the before$-$tax benefit or loss of accepting the quantity discount. $($Assume the carrying cost remains at $$0\mathrm{.}40$ per box whether or not the discount is taken.$)$

Group of answer choices

$$1,000$ loss

$$500$ benefit

$$500$ loss

$$0($The change would not affect profits.$)$

$$1,000$ benefit