Consider a continuous review inventory system with an $($r$,$ Q$)$ policy. Suppose an$-$

nual demand is Normally distributed with mean $800$ and standard deviation $40.$ The fixed cost is

K $=50$$$.$ The holding and stockout costs are h $=3\mathrm{.}1$$ and p $=45$$$,$ respectively, per item per

year. The lead time is $4$ days. Calculate approximately optimal values of r and Q$.$ Report the

corresponding value of cost rate g$($r$,$ Q$).$