Bruno Fruscalzo decided to start a small production facility in Sydney to sell gelato to the local restaurants. His local milk supplier charges $$0\mathrm{.}50$ per kilogram of milk plus a $$25$ delivery fee $($the $$25$ fee is independent of the amount ordered$).$ Bruno's holding cost is $$0\mathrm{.}01$ per kilogram per month. He needs $8,000$ kilograms of milk per month.

a$.$ Suppose Bruno orders $9,250$ kilograms each tirte. What is his average inventory $($in kilograms$)?$

$\backslash$table$[[$Average inventory,$4,625,$kilograms$]]$

b$.$ Suppose Bruno orders $7,500$ kilograms each time. How many orders does he place with his supplier each year? Note: Round your answer to $1$ decimal place.

Number of orders

c$.$ How many kilograms should Bruno order from his supplier with each order to minimize the sum of the ordering and holding costs?