We are given that the incubation time is normally distributed with a mean of 35 days and standard deviation of 2 days. Therefore, ? =   and ? =   . We wish to determine how many of the 10,000 eggs can be expected to hatch in 31 to 39 days. Since  35 − 31 = 4,  31 days is located   standard deviations to the left of the mean. Similarly, 39 days is located   standard deviations to the right of the mean.

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Linear Programming Concepts

Linear programming is a famous mathematical modeling tool for determining the best distribution of scarce resources among competing demands. Machinery, time, personnel, raw materials, money, and space are all resources. It is used to find the most optimal solution to a problem with given constraints. The real-life situations can be formulated using linear programming concepts into a mathematical model. Linear programming problems consist of an objective function and linear equalities subjected to constraints.