The random daily demand D for an item during a single period occurs instantaneously at the start of the period. The pdf of demand is uniform between 0 and 10 units. The unit holding cost of the item is 50 cents, and the unit penalty cost for running out of stock is 4.5 Euro. A fixed cost of 5 Euro is incurred each time an order is placed. Determine the optimal inventory policy. Also do the above problem when the pdf of demand is exponential with mean 5 units.