Question 2. (40 Points) A convenience store carries a certain brand of milk and sells 150 bottles of milk per week. The annual holding cost of one bottle of milk is $12. The fixed ordering cost for any number of bottles is $80 per order. Once the store places an order, it will receive the order one week later. Assume one year is 52 weeks.

(a) Compute the inventory level at which the convenience store should place an order (note the positive lead time).

(b) Compute the optimal order quantity for the milk bottles.

(c) How many times should they place an order within a year (i.e., order frequency)?

(d) Compute the total annual inventory cost of the bottles of milk.

please put the actual solutions not just the formulas