The materials manager of a firm wishes to determine the expected mean demand for a particular item in stock during the reorder lead time. This information is needed to determine how far in advance to reorder, before the stock level is reduced to zero. However, both the lead time, in days, and the demand per day for the item are random variables, described by the probability distribution that follows:

Manually simulate the problem for 30 reorders, to estimate the demand during lead time.

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Lead Time (in days) Probability Demand per Day (units) Probability 1 0.45 1 0.15 2 0.30 2 0.25 3 0.25 3 0.40 4 0.20