A computer cable manufacturing company is evaluating two outside suppliers for a connector that is used in its production. The following data are known:

$$ The daily usage for the connectors follows a Normal distribution with an average of $1000$ and a standard deviation of $100.$

$$ Assume $365$ working days every year.

$$ Annual inventory holding cost of this connector is assessed as $15\%$ of the purchase cost.

$$ It wants to achieve a $95\%$ service level for the connector.

$$ Each unit of shortage costs $$500.$

Supplier A is local, so it provides a faster $($and more reliable$)$ lead time, and the shipping cost is also lower. Supplier B is a bigger, national supplier, and it can offer a better price on each unit $($purchase cost$).$ The relevant parameters are given in the following table.