Joe is a production planner for a contract manufacturer. The company has seen orders increase significantly over the past several months and they are starting to become capacity constrained. The company currently has a fixed order backlog for 8 different orders. The time required to produce each product is variable depending on the quality of the input materials, the skill of the operators and other random factors. Based on empirical data Joe has a probability distribution estimate for the time to complete each order. If Joe wants to estimate the probability that he can complete all orders before the end of the month, his problem can best be modeled as A Monte Carlo simulation model A linear programming optimization model A linear regression model An integer programming optimization model