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.$

Suppose the supplier offers to buy any leftover jackets for $$375,$ so the retailer decides to sell any leftover jackets to the supplier $($instead of the spring sale$).$ What is optimal service level retailer would target and what is the optimal order quantity of jackets?