A retailer planning to sell jackets during winter faces the following probability distribution of demand for jackets: x Probability$($D$=$x$)$ Probability$($D$<=$x$)518\%8\%529\%18\%5310\%28\%5411\%38\%5512\%50\%5612\%62\%5711\%72\%5810\%82\%599\%92\%608\%100\%$ 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? $50\%$ and $5766\mathrm{.}7\%$ and $5666\mathrm{.}7\%$ and $5750\%$ and $55$