Rainbow Colors paint store uses a $($Q$,$R$)$ inventory system to control its stock levels. For a popular eggshell latex paint, historical data show that the distribution of monthly demand is approximately Normal, with mean $28$ and standard deviation $8.$ Replenishment lead time for this paint is about $14$ weeks. Each can of paint costs the store $$6.$ Although excess demands are backordered, each unit of stockout costs about $$10$ due to bookkeeping and loss$-$of$-$goodwill. Fixed cost of replenishment is $$15$ per order and holding costs are based on a $30\%$ annual interest rate. What is the optimal lot size $($order quantity$)$ and reorder level? What is the expected inventory level $($safety stock$)$ just before an order arrives?