2) (20pts) A pharmacy sells three types of syrups. Demand and cost data are summarized as: Syrup-3 65 Syrup-1 110 2.0 2.4 600 Order cost (liras per order) Purchasing cost (liras per bottle) Holding cost (liras per bottle per year) Annual demand (bottles per year) Syrup-2 80 4.0 2.6 900 3.0 2.5 800 What should be the optimal order quantities for each type of syrup if there is a budget limitation of 1400 liras which can be used for inventory-on-hand at any given time. What will be the annual cost for this optimal solution. 3) (20pts) Reconsider the problem in Q.2. Suppose that there is no budget limitation for the inventory, but the storage space can take at most 400 bottles at any time (assuming that all bottles for different syrups are identical). What will be the optimal order quantities in this case