(25 points) Develop an EOQ calculator for the economic order quan- tity problem with zero lead times no backorders or lost sales. Your calculator should take as input the financial parameters h, k and c, the demand rate A, the possibly finite production rate . The required outputs are: (a) The time average inventory level I as a function of Q. (b) The fixed ordering cost per unit time. (c) The total replenishment cost (including variable ordering cost) per unit time. (d) The optimal order quantity Q*.