Thomas Kratzer is the purchasing manager for the headquarters of a large Hotel with a central inventory operation. $?$ ?Thomas's fastest $-$ moving inventory item has a demand of $10000$ ?units per year. The cost of each unit is $?$ $ $34,$ ?and the interest on tied $-$ up money is $?\%10.$ ?The average ordering cost is $?$ $ $300$ ?per order. This is a corporate $?$ ?operation, and there are $250$ ?working days per $?$ ?year.

$?$ a $)$ ?What is the $?$ ?EOQ? units $?($ round your response to two decimal $?$ ?places $).$

b $)$ ?What is the optimal number of orders per $?$ ?year? orders $?($ round your response to two decimal $?$ ?places $).$

c $)$ ?What is the optimal number of days in between any two $?$ ?orders? days $?($ round your response to two decimal $?$ ?places $).$

d $)$ ?What is the annual cost of ordering $?$ ?inventory? $?$ $ per year $?($ round your response to two decimal $?$ ?places $).$

$?$ e $)$ ?What is the total annual inventory $?$ ?cost $,$ ?including the annual purchase cost of the $?$ units $?$ ? per year $?($ round your response to two decimal $?$ ?places $).$