Morgan Arthur has spent the past few weeks deter$-$ mining inventory costs for Armstrong, a toy manu$-$ facturer located near Cincinnati, Ohio. She knows that annual demand will be $30,000$ units per year and that the carrying cost will be $$1\mathrm{.}50$ per unit per year. The ordering cost, on the other hand, can vary from $$45$ per order to $$50$ per order. During the past $450$ working days, Morgan has observed the following frequency distribution for the ordering cost