$2.$ Consider a retailer that has been serving a customer demand of exactly $2$ items per day over the past year. Suppose that it costs the retailer $$4$ to hold an item inventory for a day; it costs the retailer $$64$ to place an order with its distributor; and it takes $2$ days for an order placed with the distributor to arrive at the retailer. Suppose that it takes $1$ day for an order placed by the distributor to arrive. Assume that the retailer and the distributor use $($Q$,$ R$)$ echelon inventory policies $($with$,$ potentially, different values of Q and R$),$ and the desired service level is $95\mathrm{.}25\%$ for each stage. Assuming the customer demand continues to be exactly $2$ items per day, and that these policies are used for a very long $($essentially infinite$)$ time. After this very long time, determine the reorder points, Rr and Rd$,$ for the retailer and the distributor, under the following independent scenarios: $($a$)$ All information is continuously shared between the distributor and the retailer; $($b$)$ The distributor uses the retailer order information to determine Rd