Joe Birra needs to purchase malt for his microbrewery production. His supplier charges $$40$ per delivery $($no matter how much is delivered$)$ and $$1\mathrm{.}20$ per gallon. Joe$$s annual holding cost per unit is $25$ percent of the price per gallon. Joe uses $200$ gallons of malt per week.

Suppose Joe orders the quantity from part $($c$)$ that minimizes the sum of the ordering and holding costs each time he places an order with the supplier. What is the annual cost of the EOQ expressed as a percentage of the annual purchase cost?