The retailer buys each jacket for $$400$ and sells it for $$600.$ The retailer sells any leftover jacket in the spring sale at $$300.$ What is optimal service level retailer should target and what is the optimal order quantity of jackets?

Group of answer choices

$66\mathrm{.}7\%$ and $57$

$50\%$ and $57$

$50\%$ and $55$

$66\mathrm{.}7\%$ and $56$