The oldle towne microbrewery makes townside beer, which it takes and sells in its adjoining resturant and by the case. It costs $$1700$ to set up$,$ brew, and bottle a batch of the beer. The annual cost to store the beer in inventory is $$1\mathrm{.}25$ per bottle. The annual demand for the beer is $21,000$ bottles and the brewery has the capacity to rpduce $30,00$ bottles annually.

a$.$ What is the optimal order quantity? Round to $2$ decimal places.

b$.$ What is the total annual inventory cost? Round to $2$ decimal places.

c$.$ What is the number of production per year? Round to $2$ decimal places.

d$.$ What is the maximum inventory level? Round to $2$ decimal places.

e$.$ If the microbrewery has only enogut storage space to holf a maximum of $2500$ bottles of beer in inventory, what will be the new total inventory costs? Round to $2$decimal places.

Use Operations Management to solve.