2 (a) Discuss the Monte Carlo Inventory Algorithm. (b) Consider a single-item periodic review inventory system with probabilistic demand and lead time. Assuming a normal probabilistic distribution for the demand and lead time and given an initial inventory level of 500 items with a unit cost of $10 and a weekly review period, obtain for 3 Monte Carlo simulations of 300 days: (i (i) The average service level, and The average cost per day if the service level target is set at 92% (c) (i) State if the service level specified in (b) is achieved or not and plot the Monte Carlo simulations. (i) Discus your observations when the service target level is increased to 95%