In: Statistics and Probability
Develop a simulation model for a 3-year financial analysis of total profit based on the following data and information.
Sales volume in the first year is estimated to be 100,000 units and is projected to grow at a rate that is normally distributed with a mean of 7% per year and a standard deviation of 4%. The selling price is $10, and the price increase is normally distributed with a mean of $0.50 and standard deviation of $0.05 each year. Per-unit variable costs are $3, and annual fixed costs are $200,000. Per-unit costs are expected to in- crease by an amount normally distributed with a mean of 5% per year and standard deviation of 2%. Fixed costs are expected to increase following a normal disribution with a mean of 10% per year and standard de- viation of 3%. Based on 10,000 simulation trials, find the average 3-year cumulative profit.
Generate and explain a trend chart showing net profit by year.
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