Another popular item at the UCI bookstore is a jacket. Sales are $35$ units per week, and the supplier charges $$55$ per unit. The cost of placing an order with the supplier is $$25.$ Annual holding cost for each unit is $9$ percent of a hoodie$$s value, and the store operates $49$ weeks per year $($it is closed over the holidays$).$ Assume that there is no lead time and no uncertainty in the sales volume.

Management currently chooses to order $335$ units when they place an order. What is the annual ordering cost of the current ordering policy $($in dollars$)?$

What is the annual$$holding $($inventory$)$cost of the current ordering policy $($in dollars$)?$

What is the total annual$$cost$($ordering and holding costs$)$ of the current ordering policy $($in dollars$)?$ Note: do$$NOT include the procurement cost.

What is the optimal order quantity?

What is the$$total annual$$cost$($ordering and holding costs$)$ of the$$optimal$$ordering policy $($in dollars$)?$ Note: do$$NOT include the procurement cost.

How much can the shop save in terms of the annual cost if they order optimally $($in dollars$)?$