2. Cash is loaded at an ATM machine at the start of each week. Weekly demand follows a Normal Distribution of mean of 125,000 $ with a standard deviation of 25,000 $. It is not desired to run out of cash since a stock out leads to loss of goodwill as well as high replenishment cost. It is desired to maintain a service level of 97% for availability of cash (treat is as probability of stock out in a week = 0.03). (i) Estimate how much cash should be loaded in the machine each week. (ii) What is the probability the stock level is 35,000 or more just before an Replenishment? -