Yellow Press, Inc., buys paper in $1,500-$pound rolls for printing. Annual demand is $3,000$ rolls. The cost per roll is $$1,000,$ and the annual holding cost is $12$ percent of the cost. Each order costs $$75.$

a$.$ How many rolls should Yellow Press order at a time?

The economic order quantity is:

EOQ$=\sqrt[\phantom{2}]{\frac{2DS}{H}},$

where $D$ is demand in rolls per year, $S$ is the cost per order, and $H$ is the cost per roll multiplied by the annual holding cost as a percentage of the cost $($as a decimal$).$

Yellow Press should order $61$ rolls at a time. $($Enter your response rounded to the nearest whole number.$)$

b$.$ What is the time between orders? $($Assume $365$ workdays per year.$)$

The time between orders, expressed in days is:

$TB{O}_{\text{E}\text{O}\text{Q}}=\frac{\text{E}\text{O}\text{Q}}{D}(365$ workday$\frac{s}{y}$ear$),$

where EOC is the economic order quantity and $D$ is demand in rolls per year.

The time between orders is days. $($Enter your response rounded to one decimal place.$)$