7. The squadron of Sqdn. Leader Kumar is equipped with six Big-27 fighters. The enemy is using X-16 fighters. In combat the two types of planes are matching and they fight to draw if they are in equal numbers. However, if either side uses a larger number of planes, the other side will be destroyed. In the early hours of a day, Kumar is informed by the radar operator that five enemy planes are approaching the side. From past experience and the report of the intelligence agency, he knows that the planes would split up at the last minute and attack two installations. He, of course, wants to destroy the maximum number of enemy planes at the least cost to his own.

Assuming that Kumar does not want any of the installations remain undefended, what strategies are available to him? Also list the strategies of enemy and construct the paY-offmatrix taking the pay-offs to be the number of enemy planes minus the number of planes Kumar loses. Does the matrix have a saddle point?