Through experiment and data collection, students will determine the parameters describing the fighting strength of each force, solve the system, arrive at Lanchester's N-square Law and use it to analyze a historical battle.
In 1916 Frederick William Lanchester proposed a model of how two opposing forces of aircraft would attrit one another in combat. Lanchester's model came two years before the establishment of the first air force as an independent branch of any nation's armed forces. Since then, Lanchester's model continues to find applications in operations research. In this scenario we will investigate mock military engagements between opposing forces of M&M candies and derive Lanchester's model.