Swanson dairy products a manufacturer of gourmet yogurt is performing inventory analysis on its blueberry yogurt. demand for Swanson blueberry yogurt is more or less constant over time and is for $16,000$ count per year. swanson's annual holding cost for a pound of blueberry yogurt is $$3$ and it's set up for a cost of a blueberry yogurt production run is $55$ dollars per order. the lead time to set up a blueberry yogurt production run is $2$ working days and Swanson can produce $640$ lbs of blueberry yogurt per day during a production run. Swanson operates a total of $300$ working days each year calculate each of the following and be sure to label all the answers in appropriate units.

the optimal order quantity

swanson's minimum total annual inventory cost according to the optimal plan

the length of an optimal blueberry yogurt production run

the percentage of days during each inventory cycle for which Swanson is not producing blueberry yogurt

the reorder point based on the optimal plan