PA $12-3($Static$)$ Joe Birra needs to purchase malt for his...

Joe Birra needs to purchase malt for his microbrewery production. His supplier charges $$35$ per delivery $($no matter how much is delivered$)$ and $$1\mathrm{.}20$ per gallon. Joe$$s annual holding cost per unit is $35$ percent of the price per gallon. Joe uses $250$ gallons of malt per week.

Suppose Joe orders $1,000$ gallons each time. What is his average inventory $($in gallon$)?$

Suppose Joe orders $1,500$ gallons each time. How many orders does he place with his supplier each year?

Note: Round your answer to $2$ decimal places.

How many gallons should Joe order from his supplier with each order to minimize the sum of the ordering and holding costs?