2) A supplier always avoids shortages with overtime production. The company follows a base-stock policy, but the operations manager must decide what base-stock level is optimal. Demand is normally distributed with mean 10000 and standard deviation 1500 . The holding cost is only $0.05 per period per unit but if there is a shortage - of even just one unit! - the supplier must run overtime production with a fixed cost of $200 and an extra cost per unit of $2. The product can be produced in any quantity during regular or overtime production. By simulating thousands of times, determine the base-stock level (to the nearest 100 ) that minimizes the average holding/overtime production cost per period. a) What is the best base-stock level? b) What is the average cost per period when using the best base stock level? c) During what proportion of periods is overtime production required (for the best basestock level)? [Hint: This will be a very small percentage, less than 1% but greater than 0%.]