The ancient Lanchester combat equations have the same def nition of x ( t ) and y ( t ) as in Exercise 11-8, but instead model the rate of depletion of each side to be proportional to the product of the current level of both sides: dx / dt 5 2 a x ( t ) y ( t ) dy / dt 5 2 b x ( t ) y ( t ) where a and b are again positive attrition coeff cients (but have different units and interpretations than the a and b in Exercise 11-8). For a 5 b 5 0.001 and initial force levels x (0) 5 60 and y (0) 5 30, create an Arena model that will run until time 500 hours (use Base Time Units of Hours). Include the same animation elements as in Exercise 11-8. As in Exercise 11-8, analytical solutions can be developed here, obviating the need to simulate.