$3.$ Finally, analyze the inventory decision for raw material eggs. Assume daily demand follows normal distribution with mean $1600$ and standard deviation $400.$ Apply EOQ to determine the optimal order quantity. Given target service level $99\mathrm{.}87\%(3-$sigma$),$ determine the safety stock, reorder point, and average inventory. Perform the same analysis for target service level $84\mathrm{.}13\%(1-$sigma$)$ and $97\mathrm{.}72\%(2-$sigma$).$