Mike$$s Pharmacy has an expected annual demand for a leading pain reliever X$.$ The pharmacy keeps several brand, however, its biggest seller is pain reliever X which costs $ $3\mathrm{.}00$ per box. The pharmacy wants to determine the optimal order size and total inventory cost for this pain reliever X given an estimated demand of $900$ boxes per month, an annual carrying cost of $25$ percent, and an ordering cost of $ $150.$ The store would also like to know the number of orders that will be made annually and the time between orders $($i$.$e$.,$ the order cycle time$)$ given that the pain reliever is open $302$ days per year.