Answer: Sensitivity Analysis. The notion of duality is one of the most important concepts in linear programming. Basically, associated with each linear programming problem (we may call it the primal. problem), defined by the constraint matrix A, the right-hand-side vector b, and the cost.
In d ratio 5:9 which equals 5+9=14 the total female performers is 63 For men = 5/14*63=5/2*9 =45/2 =22.5 The men would be about 22.5 in the dance recital