If (3,2), (2,3),(4,2) and (2,4) are the vertices of a polygonal region subject to certain constraint, then the minimum value of the objective function f=9x+5y is __________

If (0,0), (0,4), (2,4) and (3,2) are the vertices of a polygonal region subject to certain constraints , then the maximum value of the objective funciton f=3x+2y is __________

The minimum value of the function f (x) =x^(3) -3x^(2) -9x+5 is :

The constraints 3x+2yge9,x-yle3,xge0,yge0 and the objective function z=4x+2y has

Represent geometrically the following L.PP, Minimize Z-3x+2y Subject to the constraints x+y10,x+4y12,x>0,y>0. and Find out the extreme points of the convex set of feasible solutions and hence find out the minimum value of the objective function.

The minimum value of the function f(x)=2x^(4)-3x^(2)+2x-5 , x in [-2,2] is

The minimum value of the function f(x)=2x^(4)-3x^(2)+2x-5 , x in [-2,2] is

If the corner points of the feasible region for an L.P.P. are (0, 2), (3, 0), (6, 0), (6, 8) and (0, 5), then the minimum value of the objective function F=4x+6y occurs at

The Minimum value of the function f(x)=2x^(4)-3x^(2)+2x-5 , x in [-2,2] is