Problem $6$Problem $43,$ p$.458$The South Texas Center for Pediatric Care in San Antonio wants to reduce its inventoryreplenishment costs. The Center carries vaccines $($e$.$g$.,$ for whooping cough$),$ non$-$injectable medicalsupplies $($such as examining$-$table paper, alcohol swabs, tongue depressors$),$ and office supplies$($stationery$,$ paper, and forms$).$ Out of the $113$ inventory items, seven vaccines account forapproximately $70$ percent of annual dollar value of $$225,000.$ Approximately $210$ whooping coughvaccines are needed per month. An office manager spends a total of approximately one half$-$hourfinding out how much inventory of whooping cough vaccine is on hand and placing an order. She ispaid approximately $$17$ an hour. The cost of capital for the centre is $8$ percent per year, and thestorage cost $($including freezers for some items$)$ are estimated to also be approximately $8$ percent ofitem cost per year. A box of $10$ whooping cough vaccines costs an average of $$160.$a$.$Calculate the EOQ for whooping cough vaccines $($in boxes$)$